Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(461,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.461");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.f (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 461.9 | ||
Character | \(\chi\) | \(=\) | 966.461 |
Dual form | 966.2.f.c.461.23 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0.711304 | − | 1.57925i | 0.410672 | − | 0.911783i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.334212 | −0.149464 | −0.0747321 | − | 0.997204i | \(-0.523810\pi\) | ||||
−0.0747321 | + | 0.997204i | \(0.523810\pi\) | |||||||
\(6\) | −1.57925 | − | 0.711304i | −0.644728 | − | 0.290389i | ||||
\(7\) | −0.168570 | − | 2.64038i | −0.0637136 | − | 0.997968i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | −1.98809 | − | 2.24666i | −0.662697 | − | 0.748887i | ||||
\(10\) | 0.334212i | 0.105687i | ||||||||
\(11\) | − | 0.616447i | − | 0.185866i | −0.995672 | − | 0.0929329i | \(-0.970376\pi\) | ||
0.995672 | − | 0.0929329i | \(-0.0296242\pi\) | |||||||
\(12\) | −0.711304 | + | 1.57925i | −0.205336 | + | 0.455892i | ||||
\(13\) | − | 3.23929i | − | 0.898419i | −0.893427 | − | 0.449209i | \(-0.851706\pi\) | ||
0.893427 | − | 0.449209i | \(-0.148294\pi\) | |||||||
\(14\) | −2.64038 | + | 0.168570i | −0.705670 | + | 0.0450523i | ||||
\(15\) | −0.237727 | + | 0.527806i | −0.0613808 | + | 0.136279i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.15851 | 0.766051 | 0.383026 | − | 0.923738i | \(-0.374882\pi\) | ||||
0.383026 | + | 0.923738i | \(0.374882\pi\) | |||||||
\(18\) | −2.24666 | + | 1.98809i | −0.529543 | + | 0.468598i | ||||
\(19\) | 0.890178i | 0.204221i | 0.994773 | + | 0.102110i | \(0.0325595\pi\) | ||||
−0.994773 | + | 0.102110i | \(0.967441\pi\) | |||||||
\(20\) | 0.334212 | 0.0747321 | ||||||||
\(21\) | −4.28973 | − | 1.61190i | −0.936096 | − | 0.351744i | ||||
\(22\) | −0.616447 | −0.131427 | ||||||||
\(23\) | − | 1.00000i | − | 0.208514i | ||||||
\(24\) | 1.57925 | + | 0.711304i | 0.322364 | + | 0.145194i | ||||
\(25\) | −4.88830 | −0.977660 | ||||||||
\(26\) | −3.23929 | −0.635278 | ||||||||
\(27\) | −4.96219 | + | 1.54164i | −0.954974 | + | 0.296689i | ||||
\(28\) | 0.168570 | + | 2.64038i | 0.0318568 | + | 0.498984i | ||||
\(29\) | 2.14128i | 0.397626i | 0.980037 | + | 0.198813i | \(0.0637086\pi\) | ||||
−0.980037 | + | 0.198813i | \(0.936291\pi\) | |||||||
\(30\) | 0.527806 | + | 0.237727i | 0.0963638 | + | 0.0434027i | ||||
\(31\) | 2.97856i | 0.534966i | 0.963563 | + | 0.267483i | \(0.0861919\pi\) | ||||
−0.963563 | + | 0.267483i | \(0.913808\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −0.973527 | − | 0.438482i | −0.169469 | − | 0.0763298i | ||||
\(34\) | − | 3.15851i | − | 0.541680i | ||||||
\(35\) | 0.0563383 | + | 0.882446i | 0.00952290 | + | 0.149161i | ||||
\(36\) | 1.98809 | + | 2.24666i | 0.331349 | + | 0.374444i | ||||
\(37\) | −2.08345 | −0.342517 | −0.171258 | − | 0.985226i | \(-0.554783\pi\) | ||||
−0.171258 | + | 0.985226i | \(0.554783\pi\) | |||||||
\(38\) | 0.890178 | 0.144406 | ||||||||
\(39\) | −5.11567 | − | 2.30412i | −0.819163 | − | 0.368955i | ||||
\(40\) | − | 0.334212i | − | 0.0528436i | ||||||
\(41\) | 5.08253 | 0.793758 | 0.396879 | − | 0.917871i | \(-0.370093\pi\) | ||||
0.396879 | + | 0.917871i | \(0.370093\pi\) | |||||||
\(42\) | −1.61190 | + | 4.28973i | −0.248721 | + | 0.661920i | ||||
\(43\) | −11.3381 | −1.72905 | −0.864526 | − | 0.502589i | \(-0.832381\pi\) | ||||
−0.864526 | + | 0.502589i | \(0.832381\pi\) | |||||||
\(44\) | 0.616447i | 0.0929329i | ||||||||
\(45\) | 0.664445 | + | 0.750862i | 0.0990496 | + | 0.111932i | ||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | −2.96029 | −0.431803 | −0.215901 | − | 0.976415i | \(-0.569269\pi\) | ||||
−0.215901 | + | 0.976415i | \(0.569269\pi\) | |||||||
\(48\) | 0.711304 | − | 1.57925i | 0.102668 | − | 0.227946i | ||||
\(49\) | −6.94317 | + | 0.890178i | −0.991881 | + | 0.127168i | ||||
\(50\) | 4.88830i | 0.691310i | ||||||||
\(51\) | 2.24666 | − | 4.98809i | 0.314596 | − | 0.698473i | ||||
\(52\) | 3.23929i | 0.449209i | ||||||||
\(53\) | 0.00920039i | 0.00126377i | 1.00000 | 0.000631885i | \(0.000201135\pi\) | |||||
−1.00000 | 0.000631885i | \(0.999799\pi\) | ||||||||
\(54\) | 1.54164 | + | 4.96219i | 0.209791 | + | 0.675269i | ||||
\(55\) | 0.206024i | 0.0277803i | ||||||||
\(56\) | 2.64038 | − | 0.168570i | 0.352835 | − | 0.0225262i | ||||
\(57\) | 1.40582 | + | 0.633187i | 0.186205 | + | 0.0838677i | ||||
\(58\) | 2.14128 | 0.281164 | ||||||||
\(59\) | 13.1251 | 1.70874 | 0.854371 | − | 0.519663i | \(-0.173942\pi\) | ||||
0.854371 | + | 0.519663i | \(0.173942\pi\) | |||||||
\(60\) | 0.237727 | − | 0.527806i | 0.0306904 | − | 0.0681395i | ||||
\(61\) | − | 8.92731i | − | 1.14302i | −0.820594 | − | 0.571512i | \(-0.806357\pi\) | ||
0.820594 | − | 0.571512i | \(-0.193643\pi\) | |||||||
\(62\) | 2.97856 | 0.378278 | ||||||||
\(63\) | −5.59690 | + | 5.62803i | −0.705143 | + | 0.709065i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 1.08261i | 0.134281i | ||||||||
\(66\) | −0.438482 | + | 0.973527i | −0.0539733 | + | 0.119833i | ||||
\(67\) | 5.51592 | 0.673877 | 0.336938 | − | 0.941527i | \(-0.390609\pi\) | ||||
0.336938 | + | 0.941527i | \(0.390609\pi\) | |||||||
\(68\) | −3.15851 | −0.383026 | ||||||||
\(69\) | −1.57925 | − | 0.711304i | −0.190120 | − | 0.0856310i | ||||
\(70\) | 0.882446 | − | 0.0563383i | 0.105472 | − | 0.00673371i | ||||
\(71\) | − | 4.57347i | − | 0.542771i | −0.962471 | − | 0.271386i | \(-0.912518\pi\) | ||
0.962471 | − | 0.271386i | \(-0.0874819\pi\) | |||||||
\(72\) | 2.24666 | − | 1.98809i | 0.264772 | − | 0.234299i | ||||
\(73\) | − | 6.21012i | − | 0.726840i | −0.931625 | − | 0.363420i | \(-0.881609\pi\) | ||
0.931625 | − | 0.363420i | \(-0.118391\pi\) | |||||||
\(74\) | 2.08345i | 0.242196i | ||||||||
\(75\) | −3.47707 | + | 7.71988i | −0.401498 | + | 0.891414i | ||||
\(76\) | − | 0.890178i | − | 0.102110i | ||||||
\(77\) | −1.62765 | + | 0.103915i | −0.185488 | + | 0.0118422i | ||||
\(78\) | −2.30412 | + | 5.11567i | −0.260891 | + | 0.579236i | ||||
\(79\) | −7.38606 | −0.830997 | −0.415499 | − | 0.909594i | \(-0.636393\pi\) | ||||
−0.415499 | + | 0.909594i | \(0.636393\pi\) | |||||||
\(80\) | −0.334212 | −0.0373661 | ||||||||
\(81\) | −1.09498 | + | 8.93314i | −0.121664 | + | 0.992571i | ||||
\(82\) | − | 5.08253i | − | 0.561272i | ||||||
\(83\) | −11.3888 | −1.25008 | −0.625042 | − | 0.780592i | \(-0.714918\pi\) | ||||
−0.625042 | + | 0.780592i | \(0.714918\pi\) | |||||||
\(84\) | 4.28973 | + | 1.61190i | 0.468048 | + | 0.175872i | ||||
\(85\) | −1.05561 | −0.114497 | ||||||||
\(86\) | 11.3381i | 1.22262i | ||||||||
\(87\) | 3.38163 | + | 1.52310i | 0.362549 | + | 0.163294i | ||||
\(88\) | 0.616447 | 0.0657135 | ||||||||
\(89\) | 15.6130 | 1.65498 | 0.827490 | − | 0.561481i | \(-0.189768\pi\) | ||||
0.827490 | + | 0.561481i | \(0.189768\pi\) | |||||||
\(90\) | 0.750862 | − | 0.664445i | 0.0791478 | − | 0.0700386i | ||||
\(91\) | −8.55295 | + | 0.546049i | −0.896593 | + | 0.0572415i | ||||
\(92\) | 1.00000i | 0.104257i | ||||||||
\(93\) | 4.70391 | + | 2.11867i | 0.487773 | + | 0.219695i | ||||
\(94\) | 2.96029i | 0.305331i | ||||||||
\(95\) | − | 0.297508i | − | 0.0305237i | ||||||
\(96\) | −1.57925 | − | 0.711304i | −0.161182 | − | 0.0725972i | ||||
\(97\) | − | 10.2696i | − | 1.04272i | −0.853338 | − | 0.521358i | \(-0.825426\pi\) | ||
0.853338 | − | 0.521358i | \(-0.174574\pi\) | |||||||
\(98\) | 0.890178 | + | 6.94317i | 0.0899215 | + | 0.701366i | ||||
\(99\) | −1.38495 | + | 1.22555i | −0.139193 | + | 0.123173i | ||||
\(100\) | 4.88830 | 0.488830 | ||||||||
\(101\) | 11.1328 | 1.10775 | 0.553875 | − | 0.832600i | \(-0.313148\pi\) | ||||
0.553875 | + | 0.832600i | \(0.313148\pi\) | |||||||
\(102\) | −4.98809 | − | 2.24666i | −0.493895 | − | 0.222453i | ||||
\(103\) | 4.70411i | 0.463510i | 0.972774 | + | 0.231755i | \(0.0744468\pi\) | ||||
−0.972774 | + | 0.231755i | \(0.925553\pi\) | |||||||
\(104\) | 3.23929 | 0.317639 | ||||||||
\(105\) | 1.43368 | + | 0.538715i | 0.139913 | + | 0.0525732i | ||||
\(106\) | 0.00920039 | 0.000893620 | ||||||||
\(107\) | − | 6.66683i | − | 0.644507i | −0.946653 | − | 0.322254i | \(-0.895560\pi\) | ||
0.946653 | − | 0.322254i | \(-0.104440\pi\) | |||||||
\(108\) | 4.96219 | − | 1.54164i | 0.477487 | − | 0.148345i | ||||
\(109\) | 14.7101 | 1.40897 | 0.704486 | − | 0.709718i | \(-0.251178\pi\) | ||||
0.704486 | + | 0.709718i | \(0.251178\pi\) | |||||||
\(110\) | 0.206024 | 0.0196436 | ||||||||
\(111\) | −1.48196 | + | 3.29029i | −0.140662 | + | 0.312301i | ||||
\(112\) | −0.168570 | − | 2.64038i | −0.0159284 | − | 0.249492i | ||||
\(113\) | 16.9174i | 1.59146i | 0.605653 | + | 0.795729i | \(0.292912\pi\) | ||||
−0.605653 | + | 0.795729i | \(0.707088\pi\) | |||||||
\(114\) | 0.633187 | − | 1.40582i | 0.0593034 | − | 0.131667i | ||||
\(115\) | 0.334212i | 0.0311655i | ||||||||
\(116\) | − | 2.14128i | − | 0.198813i | ||||||
\(117\) | −7.27760 | + | 6.44002i | −0.672814 | + | 0.595380i | ||||
\(118\) | − | 13.1251i | − | 1.20826i | ||||||
\(119\) | −0.532431 | − | 8.33965i | −0.0488079 | − | 0.764495i | ||||
\(120\) | −0.527806 | − | 0.237727i | −0.0481819 | − | 0.0217014i | ||||
\(121\) | 10.6200 | 0.965454 | ||||||||
\(122\) | −8.92731 | −0.808240 | ||||||||
\(123\) | 3.61523 | − | 8.02661i | 0.325974 | − | 0.723735i | ||||
\(124\) | − | 2.97856i | − | 0.267483i | ||||||
\(125\) | 3.30479 | 0.295590 | ||||||||
\(126\) | 5.62803 | + | 5.59690i | 0.501385 | + | 0.498611i | ||||
\(127\) | 1.27261 | 0.112926 | 0.0564631 | − | 0.998405i | \(-0.482018\pi\) | ||||
0.0564631 | + | 0.998405i | \(0.482018\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −8.06487 | + | 17.9058i | −0.710073 | + | 1.57652i | ||||
\(130\) | 1.08261 | 0.0949513 | ||||||||
\(131\) | −3.12774 | −0.273272 | −0.136636 | − | 0.990621i | \(-0.543629\pi\) | ||||
−0.136636 | + | 0.990621i | \(0.543629\pi\) | |||||||
\(132\) | 0.973527 | + | 0.438482i | 0.0847347 | + | 0.0381649i | ||||
\(133\) | 2.35040 | − | 0.150058i | 0.203806 | − | 0.0130116i | ||||
\(134\) | − | 5.51592i | − | 0.476503i | ||||||
\(135\) | 1.65842 | − | 0.515236i | 0.142734 | − | 0.0443445i | ||||
\(136\) | 3.15851i | 0.270840i | ||||||||
\(137\) | − | 9.47914i | − | 0.809858i | −0.914348 | − | 0.404929i | \(-0.867296\pi\) | ||
0.914348 | − | 0.404929i | \(-0.132704\pi\) | |||||||
\(138\) | −0.711304 | + | 1.57925i | −0.0605503 | + | 0.134435i | ||||
\(139\) | − | 12.4667i | − | 1.05741i | −0.848806 | − | 0.528704i | \(-0.822678\pi\) | ||
0.848806 | − | 0.528704i | \(-0.177322\pi\) | |||||||
\(140\) | −0.0563383 | − | 0.882446i | −0.00476145 | − | 0.0745803i | ||||
\(141\) | −2.10567 | + | 4.67505i | −0.177329 | + | 0.393711i | ||||
\(142\) | −4.57347 | −0.383797 | ||||||||
\(143\) | −1.99685 | −0.166985 | ||||||||
\(144\) | −1.98809 | − | 2.24666i | −0.165674 | − | 0.187222i | ||||
\(145\) | − | 0.715642i | − | 0.0594309i | ||||||
\(146\) | −6.21012 | −0.513953 | ||||||||
\(147\) | −3.53289 | + | 11.5982i | −0.291388 | + | 0.956605i | ||||
\(148\) | 2.08345 | 0.171258 | ||||||||
\(149\) | − | 11.1915i | − | 0.916839i | −0.888736 | − | 0.458420i | \(-0.848416\pi\) | ||
0.888736 | − | 0.458420i | \(-0.151584\pi\) | |||||||
\(150\) | 7.71988 | + | 3.47707i | 0.630325 | + | 0.283902i | ||||
\(151\) | 15.7569 | 1.28228 | 0.641141 | − | 0.767423i | \(-0.278462\pi\) | ||||
0.641141 | + | 0.767423i | \(0.278462\pi\) | |||||||
\(152\) | −0.890178 | −0.0722030 | ||||||||
\(153\) | −6.27941 | − | 7.09610i | −0.507660 | − | 0.573686i | ||||
\(154\) | 0.103915 | + | 1.62765i | 0.00837368 | + | 0.131160i | ||||
\(155\) | − | 0.995473i | − | 0.0799583i | ||||||
\(156\) | 5.11567 | + | 2.30412i | 0.409582 | + | 0.184478i | ||||
\(157\) | 0.132472i | 0.0105724i | 0.999986 | + | 0.00528622i | \(0.00168267\pi\) | ||||
−0.999986 | + | 0.00528622i | \(0.998317\pi\) | |||||||
\(158\) | 7.38606i | 0.587604i | ||||||||
\(159\) | 0.0145298 | + | 0.00654428i | 0.00115228 | + | 0.000518995i | ||||
\(160\) | 0.334212i | 0.0264218i | ||||||||
\(161\) | −2.64038 | + | 0.168570i | −0.208091 | + | 0.0132852i | ||||
\(162\) | 8.93314 | + | 1.09498i | 0.701854 | + | 0.0860297i | ||||
\(163\) | −1.56309 | −0.122430 | −0.0612152 | − | 0.998125i | \(-0.519498\pi\) | ||||
−0.0612152 | + | 0.998125i | \(0.519498\pi\) | |||||||
\(164\) | −5.08253 | −0.396879 | ||||||||
\(165\) | 0.325365 | + | 0.146546i | 0.0253296 | + | 0.0114086i | ||||
\(166\) | 11.3888i | 0.883942i | ||||||||
\(167\) | −9.97417 | −0.771825 | −0.385912 | − | 0.922535i | \(-0.626113\pi\) | ||||
−0.385912 | + | 0.922535i | \(0.626113\pi\) | |||||||
\(168\) | 1.61190 | − | 4.28973i | 0.124360 | − | 0.330960i | ||||
\(169\) | 2.50697 | 0.192844 | ||||||||
\(170\) | 1.05561i | 0.0809618i | ||||||||
\(171\) | 1.99993 | − | 1.76976i | 0.152938 | − | 0.135337i | ||||
\(172\) | 11.3381 | 0.864526 | ||||||||
\(173\) | −12.3935 | −0.942259 | −0.471129 | − | 0.882064i | \(-0.656153\pi\) | ||||
−0.471129 | + | 0.882064i | \(0.656153\pi\) | |||||||
\(174\) | 1.52310 | − | 3.38163i | 0.115466 | − | 0.256361i | ||||
\(175\) | 0.824023 | + | 12.9070i | 0.0622902 | + | 0.975674i | ||||
\(176\) | − | 0.616447i | − | 0.0464664i | ||||||
\(177\) | 9.33594 | − | 20.7279i | 0.701732 | − | 1.55800i | ||||
\(178\) | − | 15.6130i | − | 1.17025i | ||||||
\(179\) | 4.94693i | 0.369751i | 0.982762 | + | 0.184875i | \(0.0591881\pi\) | ||||
−0.982762 | + | 0.184875i | \(0.940812\pi\) | |||||||
\(180\) | −0.664445 | − | 0.750862i | −0.0495248 | − | 0.0559659i | ||||
\(181\) | − | 11.2427i | − | 0.835661i | −0.908525 | − | 0.417831i | \(-0.862791\pi\) | ||
0.908525 | − | 0.417831i | \(-0.137209\pi\) | |||||||
\(182\) | 0.546049 | + | 8.55295i | 0.0404758 | + | 0.633987i | ||||
\(183\) | −14.0985 | − | 6.35003i | −1.04219 | − | 0.469408i | ||||
\(184\) | 1.00000 | 0.0737210 | ||||||||
\(185\) | 0.696313 | 0.0511940 | ||||||||
\(186\) | 2.11867 | − | 4.70391i | 0.155348 | − | 0.344908i | ||||
\(187\) | − | 1.94705i | − | 0.142383i | ||||||
\(188\) | 2.96029 | 0.215901 | ||||||||
\(189\) | 4.90700 | + | 12.8422i | 0.356931 | + | 0.934131i | ||||
\(190\) | −0.297508 | −0.0215835 | ||||||||
\(191\) | − | 11.5303i | − | 0.834304i | −0.908837 | − | 0.417152i | \(-0.863028\pi\) | ||
0.908837 | − | 0.417152i | \(-0.136972\pi\) | |||||||
\(192\) | −0.711304 | + | 1.57925i | −0.0513340 | + | 0.113973i | ||||
\(193\) | −5.65666 | −0.407175 | −0.203588 | − | 0.979057i | \(-0.565260\pi\) | ||||
−0.203588 | + | 0.979057i | \(0.565260\pi\) | |||||||
\(194\) | −10.2696 | −0.737312 | ||||||||
\(195\) | 1.70972 | + | 0.770067i | 0.122436 | + | 0.0551456i | ||||
\(196\) | 6.94317 | − | 0.890178i | 0.495941 | − | 0.0635841i | ||||
\(197\) | − | 3.68947i | − | 0.262864i | −0.991325 | − | 0.131432i | \(-0.958042\pi\) | ||
0.991325 | − | 0.131432i | \(-0.0419575\pi\) | |||||||
\(198\) | 1.22555 | + | 1.38495i | 0.0870963 | + | 0.0984240i | ||||
\(199\) | − | 9.66592i | − | 0.685199i | −0.939482 | − | 0.342599i | \(-0.888693\pi\) | ||
0.939482 | − | 0.342599i | \(-0.111307\pi\) | |||||||
\(200\) | − | 4.88830i | − | 0.345655i | ||||||
\(201\) | 3.92350 | − | 8.71104i | 0.276742 | − | 0.614430i | ||||
\(202\) | − | 11.1328i | − | 0.783298i | ||||||
\(203\) | 5.65379 | − | 0.360956i | 0.396818 | − | 0.0253342i | ||||
\(204\) | −2.24666 | + | 4.98809i | −0.157298 | + | 0.349236i | ||||
\(205\) | −1.69864 | −0.118638 | ||||||||
\(206\) | 4.70411 | 0.327751 | ||||||||
\(207\) | −2.24666 | + | 1.98809i | −0.156154 | + | 0.138182i | ||||
\(208\) | − | 3.23929i | − | 0.224605i | ||||||
\(209\) | 0.548748 | 0.0379577 | ||||||||
\(210\) | 0.538715 | − | 1.43368i | 0.0371749 | − | 0.0989334i | ||||
\(211\) | 9.28923 | 0.639497 | 0.319748 | − | 0.947503i | \(-0.396402\pi\) | ||||
0.319748 | + | 0.947503i | \(0.396402\pi\) | |||||||
\(212\) | − | 0.00920039i | − | 0.000631885i | ||||||
\(213\) | −7.22268 | − | 3.25313i | −0.494890 | − | 0.222901i | ||||
\(214\) | −6.66683 | −0.455735 | ||||||||
\(215\) | 3.78935 | 0.258431 | ||||||||
\(216\) | −1.54164 | − | 4.96219i | −0.104896 | − | 0.337634i | ||||
\(217\) | 7.86453 | − | 0.502098i | 0.533879 | − | 0.0340846i | ||||
\(218\) | − | 14.7101i | − | 0.996293i | ||||||
\(219\) | −9.80737 | − | 4.41729i | −0.662720 | − | 0.298493i | ||||
\(220\) | − | 0.206024i | − | 0.0138901i | ||||||
\(221\) | − | 10.2313i | − | 0.688235i | ||||||
\(222\) | 3.29029 | + | 1.48196i | 0.220830 | + | 0.0994630i | ||||
\(223\) | − | 26.0351i | − | 1.74344i | −0.490005 | − | 0.871720i | \(-0.663005\pi\) | ||
0.490005 | − | 0.871720i | \(-0.336995\pi\) | |||||||
\(224\) | −2.64038 | + | 0.168570i | −0.176418 | + | 0.0112631i | ||||
\(225\) | 9.71840 | + | 10.9824i | 0.647893 | + | 0.732157i | ||||
\(226\) | 16.9174 | 1.12533 | ||||||||
\(227\) | 1.73870 | 0.115401 | 0.0577006 | − | 0.998334i | \(-0.481623\pi\) | ||||
0.0577006 | + | 0.998334i | \(0.481623\pi\) | |||||||
\(228\) | −1.40582 | − | 0.633187i | −0.0931026 | − | 0.0419339i | ||||
\(229\) | − | 5.40527i | − | 0.357190i | −0.983923 | − | 0.178595i | \(-0.942845\pi\) | ||
0.983923 | − | 0.178595i | \(-0.0571552\pi\) | |||||||
\(230\) | 0.334212 | 0.0220373 | ||||||||
\(231\) | −0.993648 | + | 2.64439i | −0.0653773 | + | 0.173988i | ||||
\(232\) | −2.14128 | −0.140582 | ||||||||
\(233\) | 13.3463i | 0.874345i | 0.899378 | + | 0.437173i | \(0.144020\pi\) | ||||
−0.899378 | + | 0.437173i | \(0.855980\pi\) | |||||||
\(234\) | 6.44002 | + | 7.27760i | 0.420997 | + | 0.475752i | ||||
\(235\) | 0.989366 | 0.0645391 | ||||||||
\(236\) | −13.1251 | −0.854371 | ||||||||
\(237\) | −5.25374 | + | 11.6645i | −0.341267 | + | 0.757689i | ||||
\(238\) | −8.33965 | + | 0.532431i | −0.540579 | + | 0.0345124i | ||||
\(239\) | − | 29.0538i | − | 1.87933i | −0.342093 | − | 0.939666i | \(-0.611136\pi\) | ||
0.342093 | − | 0.939666i | \(-0.388864\pi\) | |||||||
\(240\) | −0.237727 | + | 0.527806i | −0.0153452 | + | 0.0340698i | ||||
\(241\) | 16.1968i | 1.04333i | 0.853151 | + | 0.521664i | \(0.174688\pi\) | ||||
−0.853151 | + | 0.521664i | \(0.825312\pi\) | |||||||
\(242\) | − | 10.6200i | − | 0.682679i | ||||||
\(243\) | 13.3288 | + | 8.08343i | 0.855046 | + | 0.518553i | ||||
\(244\) | 8.92731i | 0.571512i | ||||||||
\(245\) | 2.32049 | − | 0.297508i | 0.148251 | − | 0.0190071i | ||||
\(246\) | −8.02661 | − | 3.61523i | −0.511758 | − | 0.230499i | ||||
\(247\) | 2.88355 | 0.183476 | ||||||||
\(248\) | −2.97856 | −0.189139 | ||||||||
\(249\) | −8.10090 | + | 17.9858i | −0.513374 | + | 1.13980i | ||||
\(250\) | − | 3.30479i | − | 0.209013i | ||||||
\(251\) | −2.17697 | −0.137409 | −0.0687047 | − | 0.997637i | \(-0.521887\pi\) | ||||
−0.0687047 | + | 0.997637i | \(0.521887\pi\) | |||||||
\(252\) | 5.59690 | − | 5.62803i | 0.352571 | − | 0.354533i | ||||
\(253\) | −0.616447 | −0.0387557 | ||||||||
\(254\) | − | 1.27261i | − | 0.0798509i | ||||||
\(255\) | −0.750862 | + | 1.66708i | −0.0470208 | + | 0.104397i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 12.3872 | 0.772694 | 0.386347 | − | 0.922353i | \(-0.373737\pi\) | ||||
0.386347 | + | 0.922353i | \(0.373737\pi\) | |||||||
\(258\) | 17.9058 | + | 8.06487i | 1.11477 | + | 0.502097i | ||||
\(259\) | 0.351207 | + | 5.50108i | 0.0218230 | + | 0.341821i | ||||
\(260\) | − | 1.08261i | − | 0.0671407i | ||||||
\(261\) | 4.81073 | − | 4.25706i | 0.297777 | − | 0.263506i | ||||
\(262\) | 3.12774i | 0.193233i | ||||||||
\(263\) | 15.9794i | 0.985333i | 0.870218 | + | 0.492666i | \(0.163978\pi\) | ||||
−0.870218 | + | 0.492666i | \(0.836022\pi\) | |||||||
\(264\) | 0.438482 | − | 0.973527i | 0.0269867 | − | 0.0599165i | ||||
\(265\) | − | 0.00307488i | − | 0.000188888i | ||||||
\(266\) | −0.150058 | − | 2.35040i | −0.00920062 | − | 0.144113i | ||||
\(267\) | 11.1056 | − | 24.6570i | 0.679653 | − | 1.50898i | ||||
\(268\) | −5.51592 | −0.336938 | ||||||||
\(269\) | 27.8643 | 1.69892 | 0.849459 | − | 0.527655i | \(-0.176929\pi\) | ||||
0.849459 | + | 0.527655i | \(0.176929\pi\) | |||||||
\(270\) | −0.515236 | − | 1.65842i | −0.0313563 | − | 0.100929i | ||||
\(271\) | − | 13.5793i | − | 0.824883i | −0.910984 | − | 0.412442i | \(-0.864676\pi\) | ||
0.910984 | − | 0.412442i | \(-0.135324\pi\) | |||||||
\(272\) | 3.15851 | 0.191513 | ||||||||
\(273\) | −5.22140 | + | 13.8957i | −0.316014 | + | 0.841006i | ||||
\(274\) | −9.47914 | −0.572656 | ||||||||
\(275\) | 3.01338i | 0.181714i | ||||||||
\(276\) | 1.57925 | + | 0.711304i | 0.0950600 | + | 0.0428155i | ||||
\(277\) | 27.2647 | 1.63817 | 0.819087 | − | 0.573669i | \(-0.194480\pi\) | ||||
0.819087 | + | 0.573669i | \(0.194480\pi\) | |||||||
\(278\) | −12.4667 | −0.747700 | ||||||||
\(279\) | 6.69183 | − | 5.92166i | 0.400629 | − | 0.354521i | ||||
\(280\) | −0.882446 | + | 0.0563383i | −0.0527362 | + | 0.00336685i | ||||
\(281\) | 10.5377i | 0.628626i | 0.949319 | + | 0.314313i | \(0.101774\pi\) | ||||
−0.949319 | + | 0.314313i | \(0.898226\pi\) | |||||||
\(282\) | 4.67505 | + | 2.10567i | 0.278395 | + | 0.125391i | ||||
\(283\) | 15.1695i | 0.901732i | 0.892592 | + | 0.450866i | \(0.148885\pi\) | ||||
−0.892592 | + | 0.450866i | \(0.851115\pi\) | |||||||
\(284\) | 4.57347i | 0.271386i | ||||||||
\(285\) | −0.469842 | − | 0.211619i | −0.0278310 | − | 0.0125352i | ||||
\(286\) | 1.99685i | 0.118076i | ||||||||
\(287\) | −0.856764 | − | 13.4198i | −0.0505732 | − | 0.792146i | ||||
\(288\) | −2.24666 | + | 1.98809i | −0.132386 | + | 0.117149i | ||||
\(289\) | −7.02382 | −0.413166 | ||||||||
\(290\) | −0.715642 | −0.0420240 | ||||||||
\(291\) | −16.2183 | − | 7.30479i | −0.950731 | − | 0.428214i | ||||
\(292\) | 6.21012i | 0.363420i | ||||||||
\(293\) | −19.4813 | −1.13811 | −0.569055 | − | 0.822299i | \(-0.692691\pi\) | ||||
−0.569055 | + | 0.822299i | \(0.692691\pi\) | |||||||
\(294\) | 11.5982 | + | 3.53289i | 0.676422 | + | 0.206042i | ||||
\(295\) | −4.38657 | −0.255396 | ||||||||
\(296\) | − | 2.08345i | − | 0.121098i | ||||||
\(297\) | 0.950342 | + | 3.05893i | 0.0551444 | + | 0.177497i | ||||
\(298\) | −11.1915 | −0.648303 | ||||||||
\(299\) | −3.23929 | −0.187333 | ||||||||
\(300\) | 3.47707 | − | 7.71988i | 0.200749 | − | 0.445707i | ||||
\(301\) | 1.91127 | + | 29.9370i | 0.110164 | + | 1.72554i | ||||
\(302\) | − | 15.7569i | − | 0.906710i | ||||||
\(303\) | 7.91878 | − | 17.5815i | 0.454922 | − | 1.01003i | ||||
\(304\) | 0.890178i | 0.0510552i | ||||||||
\(305\) | 2.98362i | 0.170841i | ||||||||
\(306\) | −7.09610 | + | 6.27941i | −0.405657 | + | 0.358970i | ||||
\(307\) | 11.1963i | 0.639008i | 0.947585 | + | 0.319504i | \(0.103516\pi\) | ||||
−0.947585 | + | 0.319504i | \(0.896484\pi\) | |||||||
\(308\) | 1.62765 | − | 0.103915i | 0.0927441 | − | 0.00592109i | ||||
\(309\) | 7.42900 | + | 3.34606i | 0.422621 | + | 0.190351i | ||||
\(310\) | −0.995473 | −0.0565391 | ||||||||
\(311\) | 9.86492 | 0.559388 | 0.279694 | − | 0.960089i | \(-0.409767\pi\) | ||||
0.279694 | + | 0.960089i | \(0.409767\pi\) | |||||||
\(312\) | 2.30412 | − | 5.11567i | 0.130445 | − | 0.289618i | ||||
\(313\) | − | 16.5493i | − | 0.935423i | −0.883881 | − | 0.467711i | \(-0.845079\pi\) | ||
0.883881 | − | 0.467711i | \(-0.154921\pi\) | |||||||
\(314\) | 0.132472 | 0.00747585 | ||||||||
\(315\) | 1.87055 | − | 1.88096i | 0.105394 | − | 0.105980i | ||||
\(316\) | 7.38606 | 0.415499 | ||||||||
\(317\) | 12.6369i | 0.709758i | 0.934912 | + | 0.354879i | \(0.115478\pi\) | ||||
−0.934912 | + | 0.354879i | \(0.884522\pi\) | |||||||
\(318\) | 0.00654428 | − | 0.0145298i | 0.000366985 | − | 0.000814788i | ||||
\(319\) | 1.31999 | 0.0739050 | ||||||||
\(320\) | 0.334212 | 0.0186830 | ||||||||
\(321\) | −10.5286 | − | 4.74215i | −0.587651 | − | 0.264681i | ||||
\(322\) | 0.168570 | + | 2.64038i | 0.00939406 | + | 0.147142i | ||||
\(323\) | 2.81164i | 0.156444i | ||||||||
\(324\) | 1.09498 | − | 8.93314i | 0.0608322 | − | 0.496286i | ||||
\(325\) | 15.8347i | 0.878348i | ||||||||
\(326\) | 1.56309i | 0.0865714i | ||||||||
\(327\) | 10.4634 | − | 23.2310i | 0.578625 | − | 1.28468i | ||||
\(328\) | 5.08253i | 0.280636i | ||||||||
\(329\) | 0.499017 | + | 7.81628i | 0.0275117 | + | 0.430926i | ||||
\(330\) | 0.146546 | − | 0.325365i | 0.00806709 | − | 0.0179107i | ||||
\(331\) | −19.5688 | −1.07560 | −0.537799 | − | 0.843073i | \(-0.680744\pi\) | ||||
−0.537799 | + | 0.843073i | \(0.680744\pi\) | |||||||
\(332\) | 11.3888 | 0.625042 | ||||||||
\(333\) | 4.14208 | + | 4.68080i | 0.226985 | + | 0.256506i | ||||
\(334\) | 9.97417i | 0.545763i | ||||||||
\(335\) | −1.84349 | −0.100721 | ||||||||
\(336\) | −4.28973 | − | 1.61190i | −0.234024 | − | 0.0879361i | ||||
\(337\) | 19.1229 | 1.04169 | 0.520846 | − | 0.853651i | \(-0.325617\pi\) | ||||
0.520846 | + | 0.853651i | \(0.325617\pi\) | |||||||
\(338\) | − | 2.50697i | − | 0.136361i | ||||||
\(339\) | 26.7169 | + | 12.0334i | 1.45106 | + | 0.653567i | ||||
\(340\) | 1.05561 | 0.0572486 | ||||||||
\(341\) | 1.83613 | 0.0994319 | ||||||||
\(342\) | −1.76976 | − | 1.99993i | −0.0956974 | − | 0.108144i | ||||
\(343\) | 3.52082 | + | 18.1825i | 0.190106 | + | 0.981764i | ||||
\(344\) | − | 11.3381i | − | 0.611312i | ||||||
\(345\) | 0.527806 | + | 0.237727i | 0.0284161 | + | 0.0127988i | ||||
\(346\) | 12.3935i | 0.666277i | ||||||||
\(347\) | − | 13.6981i | − | 0.735354i | −0.929954 | − | 0.367677i | \(-0.880153\pi\) | ||
0.929954 | − | 0.367677i | \(-0.119847\pi\) | |||||||
\(348\) | −3.38163 | − | 1.52310i | −0.181274 | − | 0.0816469i | ||||
\(349\) | − | 11.7210i | − | 0.627412i | −0.949520 | − | 0.313706i | \(-0.898429\pi\) | ||
0.949520 | − | 0.313706i | \(-0.101571\pi\) | |||||||
\(350\) | 12.9070 | − | 0.824023i | 0.689906 | − | 0.0440459i | ||||
\(351\) | 4.99384 | + | 16.0740i | 0.266551 | + | 0.857966i | ||||
\(352\) | −0.616447 | −0.0328567 | ||||||||
\(353\) | −8.43379 | −0.448885 | −0.224443 | − | 0.974487i | \(-0.572056\pi\) | ||||
−0.224443 | + | 0.974487i | \(0.572056\pi\) | |||||||
\(354\) | −20.7279 | − | 9.33594i | −1.10167 | − | 0.496200i | ||||
\(355\) | 1.52851i | 0.0811249i | ||||||||
\(356\) | −15.6130 | −0.827490 | ||||||||
\(357\) | −13.5492 | − | 5.09119i | −0.717097 | − | 0.269454i | ||||
\(358\) | 4.94693 | 0.261453 | ||||||||
\(359\) | 22.4082i | 1.18266i | 0.806430 | + | 0.591330i | \(0.201397\pi\) | ||||
−0.806430 | + | 0.591330i | \(0.798603\pi\) | |||||||
\(360\) | −0.750862 | + | 0.664445i | −0.0395739 | + | 0.0350193i | ||||
\(361\) | 18.2076 | 0.958294 | ||||||||
\(362\) | −11.2427 | −0.590902 | ||||||||
\(363\) | 7.55405 | − | 16.7717i | 0.396485 | − | 0.880285i | ||||
\(364\) | 8.55295 | − | 0.546049i | 0.448297 | − | 0.0286207i | ||||
\(365\) | 2.07550i | 0.108637i | ||||||||
\(366\) | −6.35003 | + | 14.0985i | −0.331922 | + | 0.736940i | ||||
\(367\) | − | 23.8207i | − | 1.24343i | −0.783244 | − | 0.621714i | \(-0.786436\pi\) | ||
0.783244 | − | 0.621714i | \(-0.213564\pi\) | |||||||
\(368\) | − | 1.00000i | − | 0.0521286i | ||||||
\(369\) | −10.1045 | − | 11.4187i | −0.526022 | − | 0.594435i | ||||
\(370\) | − | 0.696313i | − | 0.0361996i | ||||||
\(371\) | 0.0242925 | − | 0.00155091i | 0.00126120 | − | 8.05193e-5i | ||||
\(372\) | −4.70391 | − | 2.11867i | −0.243887 | − | 0.109848i | ||||
\(373\) | −36.8075 | −1.90582 | −0.952910 | − | 0.303254i | \(-0.901927\pi\) | ||||
−0.952910 | + | 0.303254i | \(0.901927\pi\) | |||||||
\(374\) | −1.94705 | −0.100680 | ||||||||
\(375\) | 2.35071 | − | 5.21911i | 0.121390 | − | 0.269514i | ||||
\(376\) | − | 2.96029i | − | 0.152665i | ||||||
\(377\) | 6.93624 | 0.357235 | ||||||||
\(378\) | 12.8422 | − | 4.90700i | 0.660530 | − | 0.252389i | ||||
\(379\) | 0.647490 | 0.0332593 | 0.0166297 | − | 0.999862i | \(-0.494706\pi\) | ||||
0.0166297 | + | 0.999862i | \(0.494706\pi\) | |||||||
\(380\) | 0.297508i | 0.0152619i | ||||||||
\(381\) | 0.905216 | − | 2.00978i | 0.0463756 | − | 0.102964i | ||||
\(382\) | −11.5303 | −0.589942 | ||||||||
\(383\) | 23.8151 | 1.21689 | 0.608447 | − | 0.793595i | \(-0.291793\pi\) | ||||
0.608447 | + | 0.793595i | \(0.291793\pi\) | |||||||
\(384\) | 1.57925 | + | 0.711304i | 0.0805910 | + | 0.0362986i | ||||
\(385\) | 0.543981 | − | 0.0347296i | 0.0277239 | − | 0.00176998i | ||||
\(386\) | 5.65666i | 0.287916i | ||||||||
\(387\) | 22.5413 | + | 25.4730i | 1.14584 | + | 1.29486i | ||||
\(388\) | 10.2696i | 0.521358i | ||||||||
\(389\) | 33.3678i | 1.69182i | 0.533329 | + | 0.845908i | \(0.320941\pi\) | ||||
−0.533329 | + | 0.845908i | \(0.679059\pi\) | |||||||
\(390\) | 0.770067 | − | 1.70972i | 0.0389938 | − | 0.0865750i | ||||
\(391\) | − | 3.15851i | − | 0.159733i | ||||||
\(392\) | −0.890178 | − | 6.94317i | −0.0449608 | − | 0.350683i | ||||
\(393\) | −2.22478 | + | 4.93950i | −0.112225 | + | 0.249165i | ||||
\(394\) | −3.68947 | −0.185873 | ||||||||
\(395\) | 2.46851 | 0.124204 | ||||||||
\(396\) | 1.38495 | − | 1.22555i | 0.0695963 | − | 0.0615864i | ||||
\(397\) | 6.35096i | 0.318745i | 0.987218 | + | 0.159373i | \(0.0509472\pi\) | ||||
−0.987218 | + | 0.159373i | \(0.949053\pi\) | |||||||
\(398\) | −9.66592 | −0.484509 | ||||||||
\(399\) | 1.43487 | − | 3.81862i | 0.0718335 | − | 0.191170i | ||||
\(400\) | −4.88830 | −0.244415 | ||||||||
\(401\) | 30.0803i | 1.50214i | 0.660223 | + | 0.751069i | \(0.270462\pi\) | ||||
−0.660223 | + | 0.751069i | \(0.729538\pi\) | |||||||
\(402\) | −8.71104 | − | 3.92350i | −0.434467 | − | 0.195686i | ||||
\(403\) | 9.64845 | 0.480623 | ||||||||
\(404\) | −11.1328 | −0.553875 | ||||||||
\(405\) | 0.365956 | − | 2.98557i | 0.0181845 | − | 0.148354i | ||||
\(406\) | −0.360956 | − | 5.65379i | −0.0179140 | − | 0.280593i | ||||
\(407\) | 1.28433i | 0.0636621i | ||||||||
\(408\) | 4.98809 | + | 2.24666i | 0.246947 | + | 0.111226i | ||||
\(409\) | 7.71976i | 0.381718i | 0.981617 | + | 0.190859i | \(0.0611273\pi\) | ||||
−0.981617 | + | 0.190859i | \(0.938873\pi\) | |||||||
\(410\) | 1.69864i | 0.0838901i | ||||||||
\(411\) | −14.9700 | − | 6.74255i | −0.738415 | − | 0.332586i | ||||
\(412\) | − | 4.70411i | − | 0.231755i | ||||||
\(413\) | −2.21250 | − | 34.6552i | −0.108870 | − | 1.70527i | ||||
\(414\) | 1.98809 | + | 2.24666i | 0.0977094 | + | 0.110417i | ||||
\(415\) | 3.80628 | 0.186843 | ||||||||
\(416\) | −3.23929 | −0.158819 | ||||||||
\(417\) | −19.6880 | − | 8.86759i | −0.964127 | − | 0.434248i | ||||
\(418\) | − | 0.548748i | − | 0.0268401i | ||||||
\(419\) | −27.4462 | −1.34083 | −0.670417 | − | 0.741984i | \(-0.733885\pi\) | ||||
−0.670417 | + | 0.741984i | \(0.733885\pi\) | |||||||
\(420\) | −1.43368 | − | 0.538715i | −0.0699565 | − | 0.0262866i | ||||
\(421\) | −1.72287 | −0.0839678 | −0.0419839 | − | 0.999118i | \(-0.513368\pi\) | ||||
−0.0419839 | + | 0.999118i | \(0.513368\pi\) | |||||||
\(422\) | − | 9.28923i | − | 0.452192i | ||||||
\(423\) | 5.88533 | + | 6.65077i | 0.286155 | + | 0.323372i | ||||
\(424\) | −0.00920039 | −0.000446810 | ||||||||
\(425\) | −15.4398 | −0.748938 | ||||||||
\(426\) | −3.25313 | + | 7.22268i | −0.157615 | + | 0.349940i | ||||
\(427\) | −23.5714 | + | 1.50488i | −1.14070 | + | 0.0728262i | ||||
\(428\) | 6.66683i | 0.322254i | ||||||||
\(429\) | −1.42037 | + | 3.15354i | −0.0685762 | + | 0.152254i | ||||
\(430\) | − | 3.78935i | − | 0.182739i | ||||||
\(431\) | 28.3079i | 1.36354i | 0.731566 | + | 0.681771i | \(0.238790\pi\) | ||||
−0.731566 | + | 0.681771i | \(0.761210\pi\) | |||||||
\(432\) | −4.96219 | + | 1.54164i | −0.238744 | + | 0.0741724i | ||||
\(433\) | 3.77079i | 0.181213i | 0.995887 | + | 0.0906064i | \(0.0288805\pi\) | ||||
−0.995887 | + | 0.0906064i | \(0.971119\pi\) | |||||||
\(434\) | −0.502098 | − | 7.86453i | −0.0241015 | − | 0.377510i | ||||
\(435\) | −1.13018 | − | 0.509040i | −0.0541881 | − | 0.0244066i | ||||
\(436\) | −14.7101 | −0.704486 | ||||||||
\(437\) | 0.890178 | 0.0425830 | ||||||||
\(438\) | −4.41729 | + | 9.80737i | −0.211066 | + | 0.468614i | ||||
\(439\) | − | 4.15471i | − | 0.198293i | −0.995073 | − | 0.0991467i | \(-0.968389\pi\) | ||
0.995073 | − | 0.0991467i | \(-0.0316113\pi\) | |||||||
\(440\) | −0.206024 | −0.00982182 | ||||||||
\(441\) | 15.8036 | + | 13.8292i | 0.752552 | + | 0.658533i | ||||
\(442\) | −10.2313 | −0.486655 | ||||||||
\(443\) | 16.9438i | 0.805025i | 0.915414 | + | 0.402513i | \(0.131863\pi\) | ||||
−0.915414 | + | 0.402513i | \(0.868137\pi\) | |||||||
\(444\) | 1.48196 | − | 3.29029i | 0.0703309 | − | 0.156150i | ||||
\(445\) | −5.21807 | −0.247360 | ||||||||
\(446\) | −26.0351 | −1.23280 | ||||||||
\(447\) | −17.6742 | − | 7.96053i | −0.835959 | − | 0.376520i | ||||
\(448\) | 0.168570 | + | 2.64038i | 0.00796420 | + | 0.124746i | ||||
\(449\) | 19.5254i | 0.921459i | 0.887541 | + | 0.460730i | \(0.152412\pi\) | ||||
−0.887541 | + | 0.460730i | \(0.847588\pi\) | |||||||
\(450\) | 10.9824 | − | 9.71840i | 0.517714 | − | 0.458130i | ||||
\(451\) | − | 3.13311i | − | 0.147533i | ||||||
\(452\) | − | 16.9174i | − | 0.795729i | ||||||
\(453\) | 11.2080 | − | 24.8842i | 0.526597 | − | 1.16916i | ||||
\(454\) | − | 1.73870i | − | 0.0816010i | ||||||
\(455\) | 2.85850 | − | 0.182496i | 0.134009 | − | 0.00855555i | ||||
\(456\) | −0.633187 | + | 1.40582i | −0.0296517 | + | 0.0658334i | ||||
\(457\) | −19.7471 | −0.923729 | −0.461864 | − | 0.886951i | \(-0.652819\pi\) | ||||
−0.461864 | + | 0.886951i | \(0.652819\pi\) | |||||||
\(458\) | −5.40527 | −0.252572 | ||||||||
\(459\) | −15.6731 | + | 4.86930i | −0.731559 | + | 0.227279i | ||||
\(460\) | − | 0.334212i | − | 0.0155827i | ||||||
\(461\) | 24.1439 | 1.12449 | 0.562247 | − | 0.826969i | \(-0.309937\pi\) | ||||
0.562247 | + | 0.826969i | \(0.309937\pi\) | |||||||
\(462\) | 2.64439 | + | 0.993648i | 0.123028 | + | 0.0462287i | ||||
\(463\) | −34.1392 | −1.58658 | −0.793292 | − | 0.608841i | \(-0.791635\pi\) | ||||
−0.793292 | + | 0.608841i | \(0.791635\pi\) | |||||||
\(464\) | 2.14128i | 0.0994065i | ||||||||
\(465\) | −1.57211 | − | 0.708084i | −0.0729046 | − | 0.0328366i | ||||
\(466\) | 13.3463 | 0.618255 | ||||||||
\(467\) | −17.3020 | −0.800642 | −0.400321 | − | 0.916375i | \(-0.631101\pi\) | ||||
−0.400321 | + | 0.916375i | \(0.631101\pi\) | |||||||
\(468\) | 7.27760 | − | 6.44002i | 0.336407 | − | 0.297690i | ||||
\(469\) | −0.929820 | − | 14.5641i | −0.0429351 | − | 0.672508i | ||||
\(470\) | − | 0.989366i | − | 0.0456360i | ||||||
\(471\) | 0.209208 | + | 0.0942282i | 0.00963978 | + | 0.00434181i | ||||
\(472\) | 13.1251i | 0.604132i | ||||||||
\(473\) | 6.98937i | 0.321371i | ||||||||
\(474\) | 11.6645 | + | 5.25374i | 0.535767 | + | 0.241312i | ||||
\(475\) | − | 4.35146i | − | 0.199659i | ||||||
\(476\) | 0.532431 | + | 8.33965i | 0.0244039 | + | 0.382247i | ||||
\(477\) | 0.0206702 | − | 0.0182912i | 0.000946421 | − | 0.000837497i | ||||
\(478\) | −29.0538 | −1.32889 | ||||||||
\(479\) | 6.66557 | 0.304558 | 0.152279 | − | 0.988338i | \(-0.451339\pi\) | ||||
0.152279 | + | 0.988338i | \(0.451339\pi\) | |||||||
\(480\) | 0.527806 | + | 0.237727i | 0.0240910 | + | 0.0108507i | ||||
\(481\) | 6.74890i | 0.307723i | ||||||||
\(482\) | 16.1968 | 0.737744 | ||||||||
\(483\) | −1.61190 | + | 4.28973i | −0.0733438 | + | 0.195190i | ||||
\(484\) | −10.6200 | −0.482727 | ||||||||
\(485\) | 3.43221i | 0.155849i | ||||||||
\(486\) | 8.08343 | − | 13.3288i | 0.366672 | − | 0.604609i | ||||
\(487\) | 16.2562 | 0.736637 | 0.368319 | − | 0.929700i | \(-0.379934\pi\) | ||||
0.368319 | + | 0.929700i | \(0.379934\pi\) | |||||||
\(488\) | 8.92731 | 0.404120 | ||||||||
\(489\) | −1.11183 | + | 2.46851i | −0.0502787 | + | 0.111630i | ||||
\(490\) | −0.297508 | − | 2.32049i | −0.0134401 | − | 0.104829i | ||||
\(491\) | − | 24.7150i | − | 1.11537i | −0.830051 | − | 0.557687i | \(-0.811689\pi\) | ||
0.830051 | − | 0.557687i | \(-0.188311\pi\) | |||||||
\(492\) | −3.61523 | + | 8.02661i | −0.162987 | + | 0.361868i | ||||
\(493\) | 6.76326i | 0.304602i | ||||||||
\(494\) | − | 2.88355i | − | 0.129737i | ||||||
\(495\) | 0.462867 | − | 0.409595i | 0.0208043 | − | 0.0184099i | ||||
\(496\) | 2.97856i | 0.133742i | ||||||||
\(497\) | −12.0757 | + | 0.770951i | −0.541668 | + | 0.0345819i | ||||
\(498\) | 17.9858 | + | 8.10090i | 0.805964 | + | 0.363010i | ||||
\(499\) | 14.1996 | 0.635662 | 0.317831 | − | 0.948147i | \(-0.397045\pi\) | ||||
0.317831 | + | 0.948147i | \(0.397045\pi\) | |||||||
\(500\) | −3.30479 | −0.147795 | ||||||||
\(501\) | −7.09467 | + | 15.7518i | −0.316967 | + | 0.703737i | ||||
\(502\) | 2.17697i | 0.0971631i | ||||||||
\(503\) | 3.22976 | 0.144008 | 0.0720038 | − | 0.997404i | \(-0.477061\pi\) | ||||
0.0720038 | + | 0.997404i | \(0.477061\pi\) | |||||||
\(504\) | −5.62803 | − | 5.59690i | −0.250692 | − | 0.249306i | ||||
\(505\) | −3.72070 | −0.165569 | ||||||||
\(506\) | 0.616447i | 0.0274044i | ||||||||
\(507\) | 1.78322 | − | 3.95915i | 0.0791955 | − | 0.175832i | ||||
\(508\) | −1.27261 | −0.0564631 | ||||||||
\(509\) | 34.5726 | 1.53240 | 0.766202 | − | 0.642600i | \(-0.222144\pi\) | ||||
0.766202 | + | 0.642600i | \(0.222144\pi\) | |||||||
\(510\) | 1.66708 | + | 0.750862i | 0.0738196 | + | 0.0332487i | ||||
\(511\) | −16.3971 | + | 1.04684i | −0.725363 | + | 0.0463096i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | −1.37234 | − | 4.41723i | −0.0605902 | − | 0.195026i | ||||
\(514\) | − | 12.3872i | − | 0.546377i | ||||||
\(515\) | − | 1.57217i | − | 0.0692782i | ||||||
\(516\) | 8.06487 | − | 17.9058i | 0.355036 | − | 0.788260i | ||||
\(517\) | 1.82486i | 0.0802574i | ||||||||
\(518\) | 5.50108 | − | 0.351207i | 0.241704 | − | 0.0154312i | ||||
\(519\) | −8.81553 | + | 19.5725i | −0.386959 | + | 0.859136i | ||||
\(520\) | −1.08261 | −0.0474757 | ||||||||
\(521\) | −19.4594 | −0.852530 | −0.426265 | − | 0.904598i | \(-0.640171\pi\) | ||||
−0.426265 | + | 0.904598i | \(0.640171\pi\) | |||||||
\(522\) | −4.25706 | − | 4.81073i | −0.186327 | − | 0.210560i | ||||
\(523\) | − | 0.456621i | − | 0.0199667i | −0.999950 | − | 0.00998333i | \(-0.996822\pi\) | ||
0.999950 | − | 0.00998333i | \(-0.00317784\pi\) | |||||||
\(524\) | 3.12774 | 0.136636 | ||||||||
\(525\) | 20.9695 | + | 7.87943i | 0.915184 | + | 0.343887i | ||||
\(526\) | 15.9794 | 0.696735 | ||||||||
\(527\) | 9.40783i | 0.409811i | ||||||||
\(528\) | −0.973527 | − | 0.438482i | −0.0423673 | − | 0.0190825i | ||||
\(529\) | −1.00000 | −0.0434783 | ||||||||
\(530\) | −0.00307488 | −0.000133564 | ||||||||
\(531\) | −26.0939 | − | 29.4877i | −1.13238 | − | 1.27966i | ||||
\(532\) | −2.35040 | + | 0.150058i | −0.101903 | + | 0.00650582i | ||||
\(533\) | − | 16.4638i | − | 0.713127i | ||||||
\(534\) | −24.6570 | − | 11.1056i | −1.06701 | − | 0.480588i | ||||
\(535\) | 2.22814i | 0.0963308i | ||||||||
\(536\) | 5.51592i | 0.238251i | ||||||||
\(537\) | 7.81246 | + | 3.51877i | 0.337132 | + | 0.151846i | ||||
\(538\) | − | 27.8643i | − | 1.20132i | ||||||
\(539\) | 0.548748 | + | 4.28010i | 0.0236362 | + | 0.184357i | ||||
\(540\) | −1.65842 | + | 0.515236i | −0.0713672 | + | 0.0221722i | ||||
\(541\) | −36.4914 | −1.56889 | −0.784445 | − | 0.620199i | \(-0.787052\pi\) | ||||
−0.784445 | + | 0.620199i | \(0.787052\pi\) | |||||||
\(542\) | −13.5793 | −0.583281 | ||||||||
\(543\) | −17.7550 | − | 7.99696i | −0.761942 | − | 0.343182i | ||||
\(544\) | − | 3.15851i | − | 0.135420i | ||||||
\(545\) | −4.91629 | −0.210591 | ||||||||
\(546\) | 13.8957 | + | 5.22140i | 0.594681 | + | 0.223455i | ||||
\(547\) | 21.9239 | 0.937398 | 0.468699 | − | 0.883358i | \(-0.344723\pi\) | ||||
0.468699 | + | 0.883358i | \(0.344723\pi\) | |||||||
\(548\) | 9.47914i | 0.404929i | ||||||||
\(549\) | −20.0566 | + | 17.7483i | −0.855997 | + | 0.757479i | ||||
\(550\) | 3.01338 | 0.128491 | ||||||||
\(551\) | −1.90612 | −0.0812035 | ||||||||
\(552\) | 0.711304 | − | 1.57925i | 0.0302751 | − | 0.0672176i | ||||
\(553\) | 1.24507 | + | 19.5020i | 0.0529458 | + | 0.829309i | ||||
\(554\) | − | 27.2647i | − | 1.15836i | ||||||
\(555\) | 0.495291 | − | 1.09966i | 0.0210239 | − | 0.0466778i | ||||
\(556\) | 12.4667i | 0.528704i | ||||||||
\(557\) | − | 18.2808i | − | 0.774583i | −0.921957 | − | 0.387292i | \(-0.873411\pi\) | ||
0.921957 | − | 0.387292i | \(-0.126589\pi\) | |||||||
\(558\) | −5.92166 | − | 6.69183i | −0.250684 | − | 0.283288i | ||||
\(559\) | 36.7276i | 1.55341i | ||||||||
\(560\) | 0.0563383 | + | 0.882446i | 0.00238073 | + | 0.0372901i | ||||
\(561\) | −3.07489 | − | 1.38495i | −0.129822 | − | 0.0584726i | ||||
\(562\) | 10.5377 | 0.444505 | ||||||||
\(563\) | −15.4798 | −0.652397 | −0.326198 | − | 0.945301i | \(-0.605768\pi\) | ||||
−0.326198 | + | 0.945301i | \(0.605768\pi\) | |||||||
\(564\) | 2.10567 | − | 4.67505i | 0.0886646 | − | 0.196855i | ||||
\(565\) | − | 5.65401i | − | 0.237866i | ||||||
\(566\) | 15.1695 | 0.637621 | ||||||||
\(567\) | 23.7714 | + | 1.38529i | 0.998306 | + | 0.0581769i | ||||
\(568\) | 4.57347 | 0.191899 | ||||||||
\(569\) | 41.5182i | 1.74053i | 0.492579 | + | 0.870267i | \(0.336054\pi\) | ||||
−0.492579 | + | 0.870267i | \(0.663946\pi\) | |||||||
\(570\) | −0.211619 | + | 0.469842i | −0.00886374 | + | 0.0196795i | ||||
\(571\) | −5.38690 | −0.225435 | −0.112717 | − | 0.993627i | \(-0.535955\pi\) | ||||
−0.112717 | + | 0.993627i | \(0.535955\pi\) | |||||||
\(572\) | 1.99685 | 0.0834927 | ||||||||
\(573\) | −18.2093 | − | 8.20156i | −0.760705 | − | 0.342625i | ||||
\(574\) | −13.4198 | + | 0.856764i | −0.560131 | + | 0.0357606i | ||||
\(575\) | 4.88830i | 0.203856i | ||||||||
\(576\) | 1.98809 | + | 2.24666i | 0.0828372 | + | 0.0936109i | ||||
\(577\) | 32.6637i | 1.35981i | 0.733301 | + | 0.679905i | \(0.237979\pi\) | ||||
−0.733301 | + | 0.679905i | \(0.762021\pi\) | |||||||
\(578\) | 7.02382i | 0.292152i | ||||||||
\(579\) | −4.02361 | + | 8.93330i | −0.167215 | + | 0.371255i | ||||
\(580\) | 0.715642i | 0.0297154i | ||||||||
\(581\) | 1.91981 | + | 30.0707i | 0.0796473 | + | 1.24754i | ||||
\(582\) | −7.30479 | + | 16.2183i | −0.302793 | + | 0.672269i | ||||
\(583\) | 0.00567155 | 0.000234892 | ||||||||
\(584\) | 6.21012 | 0.256977 | ||||||||
\(585\) | 2.43226 | − | 2.15233i | 0.100562 | − | 0.0889880i | ||||
\(586\) | 19.4813i | 0.804766i | ||||||||
\(587\) | −28.9317 | −1.19414 | −0.597070 | − | 0.802189i | \(-0.703668\pi\) | ||||
−0.597070 | + | 0.802189i | \(0.703668\pi\) | |||||||
\(588\) | 3.53289 | − | 11.5982i | 0.145694 | − | 0.478303i | ||||
\(589\) | −2.65145 | −0.109251 | ||||||||
\(590\) | 4.38657i | 0.180592i | ||||||||
\(591\) | −5.82662 | − | 2.62434i | −0.239675 | − | 0.107951i | ||||
\(592\) | −2.08345 | −0.0856291 | ||||||||
\(593\) | −4.62778 | −0.190040 | −0.0950200 | − | 0.995475i | \(-0.530292\pi\) | ||||
−0.0950200 | + | 0.995475i | \(0.530292\pi\) | |||||||
\(594\) | 3.05893 | − | 0.950342i | 0.125509 | − | 0.0389930i | ||||
\(595\) | 0.177945 | + | 2.78721i | 0.00729503 | + | 0.114265i | ||||
\(596\) | 11.1915i | 0.458420i | ||||||||
\(597\) | −15.2649 | − | 6.87541i | −0.624753 | − | 0.281392i | ||||
\(598\) | 3.23929i | 0.132465i | ||||||||
\(599\) | − | 23.0851i | − | 0.943230i | −0.881804 | − | 0.471615i | \(-0.843671\pi\) | ||
0.881804 | − | 0.471615i | \(-0.156329\pi\) | |||||||
\(600\) | −7.71988 | − | 3.47707i | −0.315163 | − | 0.141951i | ||||
\(601\) | − | 18.8377i | − | 0.768405i | −0.923249 | − | 0.384203i | \(-0.874476\pi\) | ||
0.923249 | − | 0.384203i | \(-0.125524\pi\) | |||||||
\(602\) | 29.9370 | − | 1.91127i | 1.22014 | − | 0.0778977i | ||||
\(603\) | −10.9662 | − | 12.3924i | −0.446576 | − | 0.504658i | ||||
\(604\) | −15.7569 | −0.641141 | ||||||||
\(605\) | −3.54933 | −0.144301 | ||||||||
\(606\) | −17.5815 | − | 7.91878i | −0.714198 | − | 0.321678i | ||||
\(607\) | − | 2.17865i | − | 0.0884286i | −0.999022 | − | 0.0442143i | \(-0.985922\pi\) | ||
0.999022 | − | 0.0442143i | \(-0.0140784\pi\) | |||||||
\(608\) | 0.890178 | 0.0361015 | ||||||||
\(609\) | 3.45152 | − | 9.18552i | 0.139863 | − | 0.372216i | ||||
\(610\) | 2.98362 | 0.120803 | ||||||||
\(611\) | 9.58925i | 0.387940i | ||||||||
\(612\) | 6.27941 | + | 7.09610i | 0.253830 | + | 0.286843i | ||||
\(613\) | −18.6916 | −0.754947 | −0.377473 | − | 0.926020i | \(-0.623207\pi\) | ||||
−0.377473 | + | 0.926020i | \(0.623207\pi\) | |||||||
\(614\) | 11.1963 | 0.451847 | ||||||||
\(615\) | −1.20825 | + | 2.68259i | −0.0487215 | + | 0.108173i | ||||
\(616\) | −0.103915 | − | 1.62765i | −0.00418684 | − | 0.0655800i | ||||
\(617\) | 43.5422i | 1.75294i | 0.481454 | + | 0.876471i | \(0.340109\pi\) | ||||
−0.481454 | + | 0.876471i | \(0.659891\pi\) | |||||||
\(618\) | 3.34606 | − | 7.42900i | 0.134598 | − | 0.298838i | ||||
\(619\) | 1.99564i | 0.0802115i | 0.999195 | + | 0.0401057i | \(0.0127695\pi\) | ||||
−0.999195 | + | 0.0401057i | \(0.987231\pi\) | |||||||
\(620\) | 0.995473i | 0.0399792i | ||||||||
\(621\) | 1.54164 | + | 4.96219i | 0.0618640 | + | 0.199126i | ||||
\(622\) | − | 9.86492i | − | 0.395547i | ||||||
\(623\) | −2.63190 | − | 41.2243i | −0.105445 | − | 1.65162i | ||||
\(624\) | −5.11567 | − | 2.30412i | −0.204791 | − | 0.0922388i | ||||
\(625\) | 23.3370 | 0.933480 | ||||||||
\(626\) | −16.5493 | −0.661444 | ||||||||
\(627\) | 0.390327 | − | 0.866612i | 0.0155881 | − | 0.0346092i | ||||
\(628\) | − | 0.132472i | − | 0.00528622i | ||||||
\(629\) | −6.58059 | −0.262385 | ||||||||
\(630\) | −1.88096 | − | 1.87055i | −0.0749391 | − | 0.0745246i | ||||
\(631\) | 24.2580 | 0.965696 | 0.482848 | − | 0.875704i | \(-0.339602\pi\) | ||||
0.482848 | + | 0.875704i | \(0.339602\pi\) | |||||||
\(632\) | − | 7.38606i | − | 0.293802i | ||||||
\(633\) | 6.60747 | − | 14.6701i | 0.262623 | − | 0.583082i | ||||
\(634\) | 12.6369 | 0.501874 | ||||||||
\(635\) | −0.425323 | −0.0168784 | ||||||||
\(636\) | −0.0145298 | − | 0.00654428i | −0.000576142 | − | 0.000259497i | ||||
\(637\) | 2.88355 | + | 22.4910i | 0.114250 | + | 0.891125i | ||||
\(638\) | − | 1.31999i | − | 0.0522588i | ||||||
\(639\) | −10.2750 | + | 9.09248i | −0.406474 | + | 0.359693i | ||||
\(640\) | − | 0.334212i | − | 0.0132109i | ||||||
\(641\) | 26.6761i | 1.05364i | 0.849976 | + | 0.526821i | \(0.176616\pi\) | ||||
−0.849976 | + | 0.526821i | \(0.823384\pi\) | |||||||
\(642\) | −4.74215 | + | 10.5286i | −0.187158 | + | 0.415532i | ||||
\(643\) | 48.6820i | 1.91983i | 0.280288 | + | 0.959916i | \(0.409570\pi\) | ||||
−0.280288 | + | 0.959916i | \(0.590430\pi\) | |||||||
\(644\) | 2.64038 | − | 0.168570i | 0.104045 | − | 0.00664260i | ||||
\(645\) | 2.69538 | − | 5.98435i | 0.106130 | − | 0.235633i | ||||
\(646\) | 2.81164 | 0.110622 | ||||||||
\(647\) | 10.9109 | 0.428953 | 0.214477 | − | 0.976729i | \(-0.431195\pi\) | ||||
0.214477 | + | 0.976729i | \(0.431195\pi\) | |||||||
\(648\) | −8.93314 | − | 1.09498i | −0.350927 | − | 0.0430149i | ||||
\(649\) | − | 8.09093i | − | 0.317597i | ||||||
\(650\) | 15.8347 | 0.621086 | ||||||||
\(651\) | 4.80114 | − | 12.7772i | 0.188171 | − | 0.500780i | ||||
\(652\) | 1.56309 | 0.0612152 | ||||||||
\(653\) | − | 28.1573i | − | 1.10188i | −0.834545 | − | 0.550940i | \(-0.814269\pi\) | ||
0.834545 | − | 0.550940i | \(-0.185731\pi\) | |||||||
\(654\) | −23.2310 | − | 10.4634i | −0.908404 | − | 0.409150i | ||||
\(655\) | 1.04533 | 0.0408444 | ||||||||
\(656\) | 5.08253 | 0.198440 | ||||||||
\(657\) | −13.9520 | + | 12.3463i | −0.544321 | + | 0.481675i | ||||
\(658\) | 7.81628 | − | 0.499017i | 0.304710 | − | 0.0194537i | ||||
\(659\) | 8.33441i | 0.324663i | 0.986736 | + | 0.162331i | \(0.0519013\pi\) | ||||
−0.986736 | + | 0.162331i | \(0.948099\pi\) | |||||||
\(660\) | −0.325365 | − | 0.146546i | −0.0126648 | − | 0.00570429i | ||||
\(661\) | 10.3792i | 0.403705i | 0.979416 | + | 0.201853i | \(0.0646962\pi\) | ||||
−0.979416 | + | 0.201853i | \(0.935304\pi\) | |||||||
\(662\) | 19.5688i | 0.760562i | ||||||||
\(663\) | −16.1579 | − | 7.27760i | −0.627521 | − | 0.282639i | ||||
\(664\) | − | 11.3888i | − | 0.441971i | ||||||
\(665\) | −0.785534 | + | 0.0501511i | −0.0304617 | + | 0.00194478i | ||||
\(666\) | 4.68080 | − | 4.14208i | 0.181377 | − | 0.160502i | ||||
\(667\) | 2.14128 | 0.0829107 | ||||||||
\(668\) | 9.97417 | 0.385912 | ||||||||
\(669\) | −41.1161 | − | 18.5189i | −1.58964 | − | 0.715981i | ||||
\(670\) | 1.84349i | 0.0712202i | ||||||||
\(671\) | −5.50321 | −0.212449 | ||||||||
\(672\) | −1.61190 | + | 4.28973i | −0.0621802 | + | 0.165480i | ||||
\(673\) | 37.1417 | 1.43171 | 0.715854 | − | 0.698250i | \(-0.246038\pi\) | ||||
0.715854 | + | 0.698250i | \(0.246038\pi\) | |||||||
\(674\) | − | 19.1229i | − | 0.736587i | ||||||
\(675\) | 24.2567 | − | 7.53602i | 0.933640 | − | 0.290062i | ||||
\(676\) | −2.50697 | −0.0964219 | ||||||||
\(677\) | 51.1129 | 1.96443 | 0.982215 | − | 0.187762i | \(-0.0601233\pi\) | ||||
0.982215 | + | 0.187762i | \(0.0601233\pi\) | |||||||
\(678\) | 12.0334 | − | 26.7169i | 0.462141 | − | 1.02606i | ||||
\(679\) | −27.1155 | + | 1.73114i | −1.04060 | + | 0.0664352i | ||||
\(680\) | − | 1.05561i | − | 0.0404809i | ||||||
\(681\) | 1.23674 | − | 2.74584i | 0.0473921 | − | 0.105221i | ||||
\(682\) | − | 1.83613i | − | 0.0703090i | ||||||
\(683\) | − | 9.54141i | − | 0.365092i | −0.983197 | − | 0.182546i | \(-0.941566\pi\) | ||
0.983197 | − | 0.182546i | \(-0.0584338\pi\) | |||||||
\(684\) | −1.99993 | + | 1.76976i | −0.0764692 | + | 0.0676683i | ||||
\(685\) | 3.16804i | 0.121045i | ||||||||
\(686\) | 18.1825 | − | 3.52082i | 0.694212 | − | 0.134425i | ||||
\(687\) | −8.53630 | − | 3.84479i | −0.325680 | − | 0.146688i | ||||
\(688\) | −11.3381 | −0.432263 | ||||||||
\(689\) | 0.0298028 | 0.00113539 | ||||||||
\(690\) | 0.237727 | − | 0.527806i | 0.00905010 | − | 0.0200932i | ||||
\(691\) | 9.55799i | 0.363603i | 0.983335 | + | 0.181802i | \(0.0581929\pi\) | ||||
−0.983335 | + | 0.181802i | \(0.941807\pi\) | |||||||
\(692\) | 12.3935 | 0.471129 | ||||||||
\(693\) | 3.46938 | + | 3.45019i | 0.131791 | + | 0.131062i | ||||
\(694\) | −13.6981 | −0.519974 | ||||||||
\(695\) | 4.16651i | 0.158045i | ||||||||
\(696\) | −1.52310 | + | 3.38163i | −0.0577330 | + | 0.128180i | ||||
\(697\) | 16.0532 | 0.608059 | ||||||||
\(698\) | −11.7210 | −0.443647 | ||||||||
\(699\) | 21.0772 | + | 9.49328i | 0.797213 | + | 0.359069i | ||||
\(700\) | −0.824023 | − | 12.9070i | −0.0311451 | − | 0.487837i | ||||
\(701\) | − | 28.0103i | − | 1.05793i | −0.848642 | − | 0.528967i | \(-0.822579\pi\) | ||
0.848642 | − | 0.528967i | \(-0.177421\pi\) | |||||||
\(702\) | 16.0740 | − | 4.99384i | 0.606674 | − | 0.188480i | ||||
\(703\) | − | 1.85464i | − | 0.0699490i | ||||||
\(704\) | 0.616447i | 0.0232332i | ||||||||
\(705\) | 0.703740 | − | 1.56246i | 0.0265044 | − | 0.0588457i | ||||
\(706\) | 8.43379i | 0.317410i | ||||||||
\(707\) | −1.87665 | − | 29.3947i | −0.0705788 | − | 1.10550i | ||||
\(708\) | −9.33594 | + | 20.7279i | −0.350866 | + | 0.779002i | ||||
\(709\) | 15.2373 | 0.572248 | 0.286124 | − | 0.958193i | \(-0.407633\pi\) | ||||
0.286124 | + | 0.958193i | \(0.407633\pi\) | |||||||
\(710\) | 1.52851 | 0.0573640 | ||||||||
\(711\) | 14.6842 | + | 16.5940i | 0.550700 | + | 0.622323i | ||||
\(712\) | 15.6130i | 0.585124i | ||||||||
\(713\) | 2.97856 | 0.111548 | ||||||||
\(714\) | −5.09119 | + | 13.5492i | −0.190533 | + | 0.507064i | ||||
\(715\) | 0.667373 | 0.0249583 | ||||||||
\(716\) | − | 4.94693i | − | 0.184875i | ||||||
\(717\) | −45.8833 | − | 20.6661i | −1.71354 | − | 0.771789i | ||||
\(718\) | 22.4082 | 0.836267 | ||||||||
\(719\) | 44.6979 | 1.66695 | 0.833475 | − | 0.552558i | \(-0.186348\pi\) | ||||
0.833475 | + | 0.552558i | \(0.186348\pi\) | |||||||
\(720\) | 0.664445 | + | 0.750862i | 0.0247624 | + | 0.0279830i | ||||
\(721\) | 12.4206 | − | 0.792974i | 0.462568 | − | 0.0295319i | ||||
\(722\) | − | 18.2076i | − | 0.677616i | ||||||
\(723\) | 25.5789 | + | 11.5208i | 0.951288 | + | 0.428465i | ||||
\(724\) | 11.2427i | 0.417831i | ||||||||
\(725\) | − | 10.4672i | − | 0.388743i | ||||||
\(726\) | −16.7717 | − | 7.55405i | −0.622455 | − | 0.280357i | ||||
\(727\) | − | 24.8349i | − | 0.921074i | −0.887640 | − | 0.460537i | \(-0.847657\pi\) | ||
0.887640 | − | 0.460537i | \(-0.152343\pi\) | |||||||
\(728\) | −0.546049 | − | 8.55295i | −0.0202379 | − | 0.316994i | ||||
\(729\) | 22.2467 | − | 15.2999i | 0.823951 | − | 0.566661i | ||||
\(730\) | 2.07550 | 0.0768177 | ||||||||
\(731\) | −35.8116 | −1.32454 | ||||||||
\(732\) | 14.0985 | + | 6.35003i | 0.521095 | + | 0.234704i | ||||
\(733\) | 4.68413i | 0.173012i | 0.996251 | + | 0.0865061i | \(0.0275702\pi\) | ||||
−0.996251 | + | 0.0865061i | \(0.972430\pi\) | |||||||
\(734\) | −23.8207 | −0.879237 | ||||||||
\(735\) | 1.18073 | − | 3.87627i | 0.0435520 | − | 0.142978i | ||||
\(736\) | −1.00000 | −0.0368605 | ||||||||
\(737\) | − | 3.40027i | − | 0.125251i | ||||||
\(738\) | −11.4187 | + | 10.1045i | −0.420329 | + | 0.371953i | ||||
\(739\) | −35.0108 | −1.28789 | −0.643946 | − | 0.765071i | \(-0.722704\pi\) | ||||
−0.643946 | + | 0.765071i | \(0.722704\pi\) | |||||||
\(740\) | −0.696313 | −0.0255970 | ||||||||
\(741\) | 2.05108 | − | 4.55386i | 0.0753483 | − | 0.167290i | ||||
\(742\) | −0.00155091 | − | 0.0242925i | −5.69358e−5 | − | 0.000891805i | ||||
\(743\) | − | 1.09183i | − | 0.0400553i | −0.999799 | − | 0.0200276i | \(-0.993625\pi\) | ||
0.999799 | − | 0.0200276i | \(-0.00637542\pi\) | |||||||
\(744\) | −2.11867 | + | 4.70391i | −0.0776741 | + | 0.172454i | ||||
\(745\) | 3.74032i | 0.137035i | ||||||||
\(746\) | 36.8075i | 1.34762i | ||||||||
\(747\) | 22.6420 | + | 25.5868i | 0.828427 | + | 0.936171i | ||||
\(748\) | 1.94705i | 0.0711914i | ||||||||
\(749\) | −17.6029 | + | 1.12383i | −0.643198 | + | 0.0410639i | ||||
\(750\) | −5.21911 | − | 2.35071i | −0.190575 | − | 0.0858359i | ||||
\(751\) | −17.0491 | −0.622130 | −0.311065 | − | 0.950389i | \(-0.600686\pi\) | ||||
−0.311065 | + | 0.950389i | \(0.600686\pi\) | |||||||
\(752\) | −2.96029 | −0.107951 | ||||||||
\(753\) | −1.54849 | + | 3.43800i | −0.0564301 | + | 0.125288i | ||||
\(754\) | − | 6.93624i | − | 0.252603i | ||||||
\(755\) | −5.26616 | −0.191655 | ||||||||
\(756\) | −4.90700 | − | 12.8422i | −0.178466 | − | 0.467065i | ||||
\(757\) | 10.1936 | 0.370494 | 0.185247 | − | 0.982692i | \(-0.440691\pi\) | ||||
0.185247 | + | 0.982692i | \(0.440691\pi\) | |||||||
\(758\) | − | 0.647490i | − | 0.0235179i | ||||||
\(759\) | −0.438482 | + | 0.973527i | −0.0159159 | + | 0.0353368i | ||||
\(760\) | 0.297508 | 0.0107918 | ||||||||
\(761\) | 53.5953 | 1.94283 | 0.971414 | − | 0.237393i | \(-0.0762928\pi\) | ||||
0.971414 | + | 0.237393i | \(0.0762928\pi\) | |||||||
\(762\) | −2.00978 | − | 0.905216i | −0.0728067 | − | 0.0327925i | ||||
\(763\) | −2.47969 | − | 38.8402i | −0.0897706 | − | 1.40611i | ||||
\(764\) | 11.5303i | 0.417152i | ||||||||
\(765\) | 2.09866 | + | 2.37160i | 0.0758770 | + | 0.0857456i | ||||
\(766\) | − | 23.8151i | − | 0.860474i | ||||||
\(767\) | − | 42.5161i | − | 1.53517i | ||||||
\(768\) | 0.711304 | − | 1.57925i | 0.0256670 | − | 0.0569865i | ||||
\(769\) | 38.8414i | 1.40066i | 0.713821 | + | 0.700328i | \(0.246963\pi\) | ||||
−0.713821 | + | 0.700328i | \(0.753037\pi\) | |||||||
\(770\) | −0.0347296 | − | 0.543981i | −0.00125157 | − | 0.0196037i | ||||
\(771\) | 8.81109 | − | 19.5626i | 0.317324 | − | 0.704530i | ||||
\(772\) | 5.65666 | 0.203588 | ||||||||
\(773\) | −15.9469 | −0.573570 | −0.286785 | − | 0.957995i | \(-0.592586\pi\) | ||||
−0.286785 | + | 0.957995i | \(0.592586\pi\) | |||||||
\(774\) | 25.4730 | − | 22.5413i | 0.915607 | − | 0.810230i | ||||
\(775\) | − | 14.5601i | − | 0.523015i | ||||||
\(776\) | 10.2696 | 0.368656 | ||||||||
\(777\) | 8.93743 | + | 3.35830i | 0.320628 | + | 0.120478i | ||||
\(778\) | 33.3678 | 1.19629 | ||||||||
\(779\) | 4.52436i | 0.162102i | ||||||||
\(780\) | −1.70972 | − | 0.770067i | −0.0612178 | − | 0.0275728i | ||||
\(781\) | −2.81930 | −0.100883 | ||||||||
\(782\) | −3.15851 | −0.112948 | ||||||||
\(783\) | −3.30109 | − | 10.6254i | −0.117971 | − | 0.379722i | ||||
\(784\) | −6.94317 | + | 0.890178i | −0.247970 | + | 0.0317921i | ||||
\(785\) | − | 0.0442739i | − | 0.00158020i | ||||||
\(786\) | 4.93950 | + | 2.22478i | 0.176186 | + | 0.0793552i | ||||
\(787\) | − | 1.53740i | − | 0.0548025i | −0.999625 | − | 0.0274012i | \(-0.991277\pi\) | ||
0.999625 | − | 0.0274012i | \(-0.00872318\pi\) | |||||||
\(788\) | 3.68947i | 0.131432i | ||||||||
\(789\) | 25.2356 | + | 11.3662i | 0.898410 | + | 0.404648i | ||||
\(790\) | − | 2.46851i | − | 0.0878258i | ||||||
\(791\) | 44.6684 | − | 2.85178i | 1.58822 | − | 0.101397i | ||||
\(792\) | −1.22555 | − | 1.38495i | −0.0435482 | − | 0.0492120i | ||||
\(793\) | −28.9182 | −1.02691 | ||||||||
\(794\) | 6.35096 | 0.225387 | ||||||||
\(795\) | −0.00485602 | − | 0.00218718i | −0.000172225 | − | 7.75712e-5i | ||||
\(796\) | 9.66592i | 0.342599i | ||||||||
\(797\) | 27.4564 | 0.972554 | 0.486277 | − | 0.873805i | \(-0.338355\pi\) | ||||
0.486277 | + | 0.873805i | \(0.338355\pi\) | |||||||
\(798\) | −3.81862 | − | 1.43487i | −0.135178 | − | 0.0507940i | ||||
\(799\) | −9.35011 | −0.330783 | ||||||||
\(800\) | 4.88830i | 0.172828i | ||||||||
\(801\) | −31.0402 | − | 35.0772i | −1.09675 | − | 1.23939i | ||||
\(802\) | 30.0803 | 1.06217 | ||||||||
\(803\) | −3.82821 | −0.135095 | ||||||||
\(804\) | −3.92350 | + | 8.71104i | −0.138371 | + | 0.307215i | ||||
\(805\) | 0.882446 | − | 0.0563383i | 0.0311021 | − | 0.00198566i | ||||
\(806\) | − | 9.64845i | − | 0.339852i | ||||||
\(807\) | 19.8200 | − | 44.0049i | 0.697697 | − | 1.54904i | ||||
\(808\) | 11.1328i | 0.391649i | ||||||||
\(809\) | − | 26.8772i | − | 0.944952i | −0.881344 | − | 0.472476i | \(-0.843360\pi\) | ||
0.881344 | − | 0.472476i | \(-0.156640\pi\) | |||||||
\(810\) | −2.98557 | − | 0.365956i | −0.104902 | − | 0.0128584i | ||||
\(811\) | 25.2349i | 0.886118i | 0.896492 | + | 0.443059i | \(0.146107\pi\) | ||||
−0.896492 | + | 0.443059i | \(0.853893\pi\) | |||||||
\(812\) | −5.65379 | + | 0.360956i | −0.198409 | + | 0.0126671i | ||||
\(813\) | −21.4452 | − | 9.65901i | −0.752115 | − | 0.338756i | ||||
\(814\) | 1.28433 | 0.0450159 | ||||||||
\(815\) | 0.522403 | 0.0182990 | ||||||||
\(816\) | 2.24666 | − | 4.98809i | 0.0786489 | − | 0.174618i | ||||
\(817\) | − | 10.0930i | − | 0.353108i | ||||||
\(818\) | 7.71976 | 0.269915 | ||||||||
\(819\) | 18.2308 | + | 18.1300i | 0.637037 | + | 0.633514i | ||||
\(820\) | 1.69864 | 0.0593192 | ||||||||
\(821\) | − | 48.8711i | − | 1.70561i | −0.522228 | − | 0.852806i | \(-0.674899\pi\) | ||
0.522228 | − | 0.852806i | \(-0.325101\pi\) | |||||||
\(822\) | −6.74255 | + | 14.9700i | −0.235174 | + | 0.522138i | ||||
\(823\) | 23.4785 | 0.818411 | 0.409205 | − | 0.912442i | \(-0.365806\pi\) | ||||
0.409205 | + | 0.912442i | \(0.365806\pi\) | |||||||
\(824\) | −4.70411 | −0.163876 | ||||||||
\(825\) | 4.75889 | + | 2.14343i | 0.165683 | + | 0.0746247i | ||||
\(826\) | −34.6552 | + | 2.21250i | −1.20581 | + | 0.0769828i | ||||
\(827\) | − | 14.5382i | − | 0.505544i | −0.967526 | − | 0.252772i | \(-0.918658\pi\) | ||
0.967526 | − | 0.252772i | \(-0.0813422\pi\) | |||||||
\(828\) | 2.24666 | − | 1.98809i | 0.0780769 | − | 0.0690910i | ||||
\(829\) | 21.8284i | 0.758131i | 0.925370 | + | 0.379066i | \(0.123755\pi\) | ||||
−0.925370 | + | 0.379066i | \(0.876245\pi\) | |||||||
\(830\) | − | 3.80628i | − | 0.132118i | ||||||
\(831\) | 19.3935 | − | 43.0578i | 0.672752 | − | 1.49366i | ||||
\(832\) | 3.23929i | 0.112302i | ||||||||
\(833\) | −21.9301 | + | 2.81164i | −0.759832 | + | 0.0974174i | ||||
\(834\) | −8.86759 | + | 19.6880i | −0.307059 | + | 0.681741i | ||||
\(835\) | 3.33349 | 0.115360 | ||||||||
\(836\) | −0.548748 | −0.0189788 | ||||||||
\(837\) | −4.59189 | − | 14.7802i | −0.158719 | − | 0.510879i | ||||
\(838\) | 27.4462i | 0.948113i | ||||||||
\(839\) | −26.6696 | −0.920737 | −0.460368 | − | 0.887728i | \(-0.652283\pi\) | ||||
−0.460368 | + | 0.887728i | \(0.652283\pi\) | |||||||
\(840\) | −0.538715 | + | 1.43368i | −0.0185874 | + | 0.0494667i | ||||
\(841\) | 24.4149 | 0.841894 | ||||||||
\(842\) | 1.72287i | 0.0593742i | ||||||||
\(843\) | 16.6417 | + | 7.49550i | 0.573170 | + | 0.258159i | ||||
\(844\) | −9.28923 | −0.319748 | ||||||||
\(845\) | −0.837860 | −0.0288233 | ||||||||
\(846\) | 6.65077 | − | 5.88533i | 0.228658 | − | 0.202342i | ||||
\(847\) | −1.79022 | − | 28.0408i | −0.0615125 | − | 0.963492i | ||||
\(848\) | 0.00920039i | 0.000315943i | ||||||||
\(849\) | 23.9565 | + | 10.7901i | 0.822184 | + | 0.370316i | ||||
\(850\) | 15.4398i | 0.529579i | ||||||||
\(851\) | 2.08345i | 0.0714196i | ||||||||
\(852\) | 7.22268 | + | 3.25313i | 0.247445 | + | 0.111450i | ||||
\(853\) | 3.50989i | 0.120176i | 0.998193 | + | 0.0600882i | \(0.0191382\pi\) | ||||
−0.998193 | + | 0.0600882i | \(0.980862\pi\) | |||||||
\(854\) | 1.50488 | + | 23.5714i | 0.0514959 | + | 0.806598i | ||||
\(855\) | −0.668401 | + | 0.591474i | −0.0228588 | + | 0.0202280i | ||||
\(856\) | 6.66683 | 0.227868 | ||||||||
\(857\) | 32.7365 | 1.11826 | 0.559129 | − | 0.829080i | \(-0.311135\pi\) | ||||
0.559129 | + | 0.829080i | \(0.311135\pi\) | |||||||
\(858\) | 3.15354 | + | 1.42037i | 0.107660 | + | 0.0484907i | ||||
\(859\) | 18.9860i | 0.647794i | 0.946092 | + | 0.323897i | \(0.104993\pi\) | ||||
−0.946092 | + | 0.323897i | \(0.895007\pi\) | |||||||
\(860\) | −3.78935 | −0.129216 | ||||||||
\(861\) | −21.8027 | − | 8.19251i | −0.743034 | − | 0.279200i | ||||
\(862\) | 28.3079 | 0.964170 | ||||||||
\(863\) | − | 22.9285i | − | 0.780494i | −0.920710 | − | 0.390247i | \(-0.872390\pi\) | ||
0.920710 | − | 0.390247i | \(-0.127610\pi\) | |||||||
\(864\) | 1.54164 | + | 4.96219i | 0.0524478 | + | 0.168817i | ||||
\(865\) | 4.14205 | 0.140834 | ||||||||
\(866\) | 3.77079 | 0.128137 | ||||||||
\(867\) | −4.99607 | + | 11.0924i | −0.169675 | + | 0.376718i | ||||
\(868\) | −7.86453 | + | 0.502098i | −0.266940 | + | 0.0170423i | ||||
\(869\) | 4.55312i | 0.154454i | ||||||||
\(870\) | −0.509040 | + | 1.13018i | −0.0172581 | + | 0.0383167i | ||||
\(871\) | − | 17.8677i | − | 0.605424i | ||||||
\(872\) | 14.7101i | 0.498147i | ||||||||
\(873\) | −23.0722 | + | 20.4168i | −0.780877 | + | 0.691005i | ||||
\(874\) | − | 0.890178i | − | 0.0301107i | ||||||
\(875\) | −0.557090 | − | 8.72589i | −0.0188331 | − | 0.294989i | ||||
\(876\) | 9.80737 | + | 4.41729i | 0.331360 | + | 0.149246i | ||||
\(877\) | 32.0494 | 1.08223 | 0.541116 | − | 0.840948i | \(-0.318002\pi\) | ||||
0.541116 | + | 0.840948i | \(0.318002\pi\) | |||||||
\(878\) | −4.15471 | −0.140215 | ||||||||
\(879\) | −13.8571 | + | 30.7660i | −0.467390 | + | 1.03771i | ||||
\(880\) | 0.206024i | 0.00694507i | ||||||||
\(881\) | 20.8969 | 0.704034 | 0.352017 | − | 0.935994i | \(-0.385496\pi\) | ||||
0.352017 | + | 0.935994i | \(0.385496\pi\) | |||||||
\(882\) | 13.8292 | − | 15.8036i | 0.465653 | − | 0.532134i | ||||
\(883\) | −51.9603 | −1.74860 | −0.874302 | − | 0.485383i | \(-0.838680\pi\) | ||||
−0.874302 | + | 0.485383i | \(0.838680\pi\) | |||||||
\(884\) | 10.2313i | 0.344117i | ||||||||
\(885\) | −3.12019 | + | 6.92751i | −0.104884 | + | 0.232866i | ||||
\(886\) | 16.9438 | 0.569239 | ||||||||
\(887\) | 13.1666 | 0.442091 | 0.221046 | − | 0.975263i | \(-0.429053\pi\) | ||||
0.221046 | + | 0.975263i | \(0.429053\pi\) | |||||||
\(888\) | −3.29029 | − | 1.48196i | −0.110415 | − | 0.0497315i | ||||
\(889\) | −0.214525 | − | 3.36018i | −0.00719494 | − | 0.112697i | ||||
\(890\) | 5.21807i | 0.174910i | ||||||||
\(891\) | 5.50681 | + | 0.674997i | 0.184485 | + | 0.0226132i | ||||
\(892\) | 26.0351i | 0.871720i | ||||||||
\(893\) | − | 2.63519i | − | 0.0881831i | ||||||
\(894\) | −7.96053 | + | 17.6742i | −0.266240 | + | 0.591112i | ||||
\(895\) | − | 1.65332i | − | 0.0552645i | ||||||
\(896\) | 2.64038 | − | 0.168570i | 0.0882088 | − | 0.00563154i | ||||
\(897\) | −2.30412 | + | 5.11567i | −0.0769325 | + | 0.170807i | ||||
\(898\) | 19.5254 | 0.651570 | ||||||||
\(899\) | −6.37794 | −0.212716 | ||||||||
\(900\) | −9.71840 | − | 10.9824i | −0.323947 | − | 0.366079i | ||||
\(901\) | 0.0290595i | 0.000968113i | ||||||||
\(902\) | −3.13311 | −0.104321 | ||||||||
\(903\) | 48.6376 | + | 18.2759i | 1.61856 | + | 0.608184i | ||||
\(904\) | −16.9174 | −0.562665 | ||||||||
\(905\) | 3.75744i | 0.124901i | ||||||||
\(906\) | −24.8842 | − | 11.2080i | −0.826723 | − | 0.372360i | ||||
\(907\) | 3.89982 | 0.129491 | 0.0647457 | − | 0.997902i | \(-0.479376\pi\) | ||||
0.0647457 | + | 0.997902i | \(0.479376\pi\) | |||||||
\(908\) | −1.73870 | −0.0577006 | ||||||||
\(909\) | −22.1329 | − | 25.0115i | −0.734103 | − | 0.829580i | ||||
\(910\) | −0.182496 | − | 2.85850i | −0.00604969 | − | 0.0947584i | ||||
\(911\) | 12.1667i | 0.403102i | 0.979478 | + | 0.201551i | \(0.0645982\pi\) | ||||
−0.979478 | + | 0.201551i | \(0.935402\pi\) | |||||||
\(912\) | 1.40582 | + | 0.633187i | 0.0465513 | + | 0.0209669i | ||||
\(913\) | 7.02059i | 0.232348i | ||||||||
\(914\) | 19.7471i | 0.653175i | ||||||||
\(915\) | 4.71189 | + | 2.12226i | 0.155770 | + | 0.0701597i | ||||
\(916\) | 5.40527i | 0.178595i | ||||||||
\(917\) | 0.527244 | + | 8.25841i | 0.0174111 | + | 0.272717i | ||||
\(918\) | 4.86930 | + | 15.6731i | 0.160711 | + | 0.517290i | ||||
\(919\) | −30.9169 | −1.01985 | −0.509927 | − | 0.860217i | \(-0.670328\pi\) | ||||
−0.509927 | + | 0.860217i | \(0.670328\pi\) | |||||||
\(920\) | −0.334212 | −0.0110187 | ||||||||
\(921\) | 17.6818 | + | 7.96399i | 0.582637 | + | 0.262422i | ||||
\(922\) | − | 24.1439i | − | 0.795137i | ||||||
\(923\) | −14.8148 | −0.487636 | ||||||||
\(924\) | 0.993648 | − | 2.64439i | 0.0326886 | − | 0.0869941i | ||||
\(925\) | 10.1845 | 0.334865 | ||||||||
\(926\) | 34.1392i | 1.12188i | ||||||||
\(927\) | 10.5686 | − | 9.35221i | 0.347117 | − | 0.307167i | ||||
\(928\) | 2.14128 | 0.0702910 | ||||||||
\(929\) | −9.49474 | −0.311512 | −0.155756 | − | 0.987796i | \(-0.549781\pi\) | ||||
−0.155756 | + | 0.987796i | \(0.549781\pi\) | |||||||
\(930\) | −0.708084 | + | 1.57211i | −0.0232190 | + | 0.0515514i | ||||
\(931\) | −0.792417 | − | 6.18065i | −0.0259704 | − | 0.202563i | ||||
\(932\) | − | 13.3463i | − | 0.437173i | ||||||
\(933\) | 7.01696 | − | 15.5792i | 0.229725 | − | 0.510041i | ||||
\(934\) | 17.3020i | 0.566139i | ||||||||
\(935\) | 0.650729i | 0.0212811i | ||||||||
\(936\) | −6.44002 | − | 7.27760i | −0.210499 | − | 0.237876i | ||||
\(937\) | − | 21.2783i | − | 0.695132i | −0.937655 | − | 0.347566i | \(-0.887008\pi\) | ||
0.937655 | − | 0.347566i | \(-0.112992\pi\) | |||||||
\(938\) | −14.5641 | + | 0.929820i | −0.475535 | + | 0.0303597i | ||||
\(939\) | −26.1356 | − | 11.7716i | −0.852903 | − | 0.384152i | ||||
\(940\) | −0.989366 | −0.0322695 | ||||||||
\(941\) | −11.8428 | −0.386063 | −0.193032 | − | 0.981193i | \(-0.561832\pi\) | ||||
−0.193032 | + | 0.981193i | \(0.561832\pi\) | |||||||
\(942\) | 0.0942282 | − | 0.209208i | 0.00307012 | − | 0.00681635i | ||||
\(943\) | − | 5.08253i | − | 0.165510i | ||||||
\(944\) | 13.1251 | 0.427186 | ||||||||
\(945\) | −1.63998 | − | 4.29201i | −0.0533485 | − | 0.139619i | ||||
\(946\) | 6.98937 | 0.227244 | ||||||||
\(947\) | − | 36.6641i | − | 1.19142i | −0.803198 | − | 0.595712i | \(-0.796870\pi\) | ||
0.803198 | − | 0.595712i | \(-0.203130\pi\) | |||||||
\(948\) | 5.25374 | − | 11.6645i | 0.170634 | − | 0.378845i | ||||
\(949\) | −20.1164 | −0.653007 | ||||||||
\(950\) | −4.35146 | −0.141180 | ||||||||
\(951\) | 19.9568 | + | 8.98866i | 0.647145 | + | 0.291477i | ||||
\(952\) | 8.33965 | − | 0.532431i | 0.270290 | − | 0.0172562i | ||||
\(953\) | 8.27408i | 0.268024i | 0.990980 | + | 0.134012i | \(0.0427860\pi\) | ||||
−0.990980 | + | 0.134012i | \(0.957214\pi\) | |||||||
\(954\) | −0.0182912 | − | 0.0206702i | −0.000592200 | − | 0.000669221i | ||||
\(955\) | 3.85357i | 0.124699i | ||||||||
\(956\) | 29.0538i | 0.939666i | ||||||||
\(957\) | 0.938912 | − | 2.08459i | 0.0303507 | − | 0.0673854i | ||||
\(958\) | − | 6.66557i | − | 0.215355i | ||||||
\(959\) | −25.0285 | + | 1.59790i | −0.808212 | + | 0.0515989i | ||||
\(960\) | 0.237727 | − | 0.527806i | 0.00767259 | − | 0.0170349i | ||||
\(961\) | 22.1282 | 0.713811 | ||||||||
\(962\) | 6.74890 | 0.217593 | ||||||||
\(963\) | −14.9781 | + | 13.2543i | −0.482663 | + | 0.427113i | ||||
\(964\) | − | 16.1968i | − | 0.521664i | ||||||
\(965\) | 1.89052 | 0.0608581 | ||||||||
\(966\) | 4.28973 | + | 1.61190i | 0.138020 | + | 0.0518619i | ||||
\(967\) | 33.8380 | 1.08816 | 0.544078 | − | 0.839034i | \(-0.316879\pi\) | ||||
0.544078 | + | 0.839034i | \(0.316879\pi\) | |||||||
\(968\) | 10.6200i | 0.341340i | ||||||||
\(969\) | 4.44029 | + | 1.99993i | 0.142643 | + | 0.0642470i | ||||
\(970\) | 3.43221 | 0.110202 | ||||||||
\(971\) | −6.44381 | −0.206792 | −0.103396 | − | 0.994640i | \(-0.532971\pi\) | ||||
−0.103396 | + | 0.994640i | \(0.532971\pi\) | |||||||
\(972\) | −13.3288 | − | 8.08343i | −0.427523 | − | 0.259276i | ||||
\(973\) | −32.9167 | + | 2.10151i | −1.05526 | + | 0.0673713i | ||||
\(974\) | − | 16.2562i | − | 0.520881i | ||||||
\(975\) | 25.0069 | + | 11.2633i | 0.800863 | + | 0.360713i | ||||
\(976\) | − | 8.92731i | − | 0.285756i | ||||||
\(977\) | 30.1308i | 0.963970i | 0.876179 | + | 0.481985i | \(0.160084\pi\) | ||||
−0.876179 | + | 0.481985i | \(0.839916\pi\) | |||||||
\(978\) | 2.46851 | + | 1.11183i | 0.0789344 | + | 0.0355524i | ||||
\(979\) | − | 9.62462i | − | 0.307604i | ||||||
\(980\) | −2.32049 | + | 0.297508i | −0.0741254 | + | 0.00950356i | ||||
\(981\) | −29.2450 | − | 33.0486i | −0.933722 | − | 1.05516i | ||||
\(982\) | −24.7150 | −0.788689 | ||||||||
\(983\) | −14.5978 | −0.465597 | −0.232798 | − | 0.972525i | \(-0.574788\pi\) | ||||
−0.232798 | + | 0.972525i | \(0.574788\pi\) | |||||||
\(984\) | 8.02661 | + | 3.61523i | 0.255879 | + | 0.115249i | ||||
\(985\) | 1.23307i | 0.0392888i | ||||||||
\(986\) | 6.76326 | 0.215386 | ||||||||
\(987\) | 12.6989 | + | 4.77168i | 0.404209 | + | 0.151884i | ||||
\(988\) | −2.88355 | −0.0917379 | ||||||||
\(989\) | 11.3381i | 0.360532i | ||||||||
\(990\) | −0.409595 | − | 0.462867i | −0.0130178 | − | 0.0147109i | ||||
\(991\) | 25.0380 | 0.795358 | 0.397679 | − | 0.917525i | \(-0.369816\pi\) | ||||
0.397679 | + | 0.917525i | \(0.369816\pi\) | |||||||
\(992\) | 2.97856 | 0.0945695 | ||||||||
\(993\) | −13.9194 | + | 30.9041i | −0.441717 | + | 0.980711i | ||||
\(994\) | 0.770951 | + | 12.0757i | 0.0244531 | + | 0.383017i | ||||
\(995\) | 3.23047i | 0.102413i | ||||||||
\(996\) | 8.10090 | − | 17.9858i | 0.256687 | − | 0.569902i | ||||
\(997\) | − | 45.0748i | − | 1.42753i | −0.700384 | − | 0.713766i | \(-0.746988\pi\) | ||
0.700384 | − | 0.713766i | \(-0.253012\pi\) | |||||||
\(998\) | − | 14.1996i | − | 0.449481i | ||||||
\(999\) | 10.3385 | − | 3.21193i | 0.327094 | − | 0.101621i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 966.2.f.c.461.9 | yes | 28 | |
3.2 | odd | 2 | inner | 966.2.f.c.461.20 | yes | 28 | |
7.6 | odd | 2 | inner | 966.2.f.c.461.6 | ✓ | 28 | |
21.20 | even | 2 | inner | 966.2.f.c.461.23 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.f.c.461.6 | ✓ | 28 | 7.6 | odd | 2 | inner | |
966.2.f.c.461.9 | yes | 28 | 1.1 | even | 1 | trivial | |
966.2.f.c.461.20 | yes | 28 | 3.2 | odd | 2 | inner | |
966.2.f.c.461.23 | yes | 28 | 21.20 | even | 2 | inner |